From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angle of elevation to the top of the hill is 55

Answers

Answer 1

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.


Related Questions

Pls help me solve 10k - 90 =m -10 *

Answers

Answer:

M = 10k - 80 and k = m/10 + 80

Step-by-step explanation:

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.

*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form

Answers

We want to write the equation in the form

y = mx + b.

We need to solve for y.

4x + 2y = -6

Subtract 4x from both sides.

4x - 4x + 2y = -4x - 6

2y = -4x - 6

Divide both sides by 2.

2y/2 = (-4x - 6)/2

y = (-4x - 6)/2

y = -2x - 3

Done.

Write an inequality for each graph. (photos down below)

Answers

a) [25 ,∞)

B) (-0.5 , -∞)
A- (25, ♾)
B- (-0.5, -♾)

Cant figure it out, Help?

Answers

747.7

d=14 we are looking for the radius divided it to half so it should be 7
the height is 10

A=2πrh+2πr2=2·π·7·10+2·π·72≈747.69905

if i helped 255 people and i only answered 38 questions whats my average number of people that i help per question?

Answers

Answer:

About 7 users per question

Step-by-step explanation:

Just divide the number of users helped by the number of questions answered.

(8 x 104) (4.5x 10-1) =

Answers

[tex] \tt{}(8 \times 104)(4.5 \times 10 - 1)[/tex]

[tex]\tt{}(832)(45 - 1)[/tex]

[tex]\tt{}(832)(44)[/tex]

[tex]\tt{}832 \times 44[/tex]

[tex]\tt{}36608[/tex]

PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.

Answers

Answer:

25 and 13

Step-by-step explanation:

25 - 13 = 12  

25 + 2 = 27

13 -10 =3

27 is 9 times larger than 3


This my last one help

Answers

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?

Answers

Answer:

3.66meters long

Step-by-step explanation:

since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long

would the answer be 36?

Answers

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

PLEASE GIVE ME BRAINLESS BEEN DOING FOR 3 HOURS WILL GIVE BRAINLESS

Answers

Answer is in photo attached below

Answer:x=24

Step-by-step explanation:

5) A manufacturer produces paperweights composed of two congruent triangles as shown.

The length of the hypotenuse is
A. 6
B. 8
C. 10

The total length of the base of the paperweight is
A. 6
B. 8
C. 10​

Answers

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.

7/10-1/6 answer in fraction

Answers

Answer:

8/15

Step-by-step explanation:

7/10 = 21/30

1/6 = 5/30

21/30-5/30 = 16/30=8/15

Answer:

32/60

Step-by-step explanation:

7/10-1/6

6 and 10 can both go into 60 so you do

10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract

42-10= 32

32/60

WILL GIVE BRAINLIEST
(Photo is recommended)

What is the value of the expression 4 4? ____

Answers

256.
EXPLANATION:

When you are using exponents, you are basically just doing repeated multiplication.

Whatever the exponent (smaller number is) is how many times you multiply the base number by itself.

So 4 ^4 is 4 x 4 x 4 x 4. (4 fours.)

So 4 x 4 x 4 x 4 is 256.
HAVE A GUD DAY

35 POINTS!
Help plz...
Match each expression with the equivalent expanded expression. -5 (2x + 3/5) x + 1.5 0.5 (2r + 3) -20 + 3 2 (4x-2) 8x - 4 1/3 (9 +81) 30 -3 (2/3x - 1) -10x - 3​

Answers

Answer:

can you give us a link

Step-by-step explanation:

28
The members of a tennis team have a goal of raising at least $500 for new equipment. They have already raised $275.
The team members plan to raise more money by washing cars. They will charge $5 for each car they wash.
Let c represent the number of cars the team members will wash. Which of the following could be used to find the least
number of cars they must wash to reach their goal?
A 5c+275 > 500
B 5c + 275 > 500
c) 5c - 275 > 500
D 50 - 275 > 500

Answers

Answer:

A 5c+ 275 > 500

Step-by-step explanation:

Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches

Answers

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

Can I please get with the last math question??

Answers

Elww Mate..........

.........

choosing a purple green black or silver bike having 10, 18, 21 or 24 speeds

Answers

Answer:

for me the good one is black with 18 speed

Answer:

Black with 18 speeds

Step-by-step explanation:

Write the name of each decimal place indicated( pls help I’m failing and don’t troll I’ll give Brianliest)

Answers

Answer:

3. A. ten thousandths

4. C. tenths

5. D. hundredths

6. C. ten thousandths

hope you have a blessed day

Step-by-step explanation:

Answer:Question 3 answer is A.

Question 4 answer is C

Question 5 answer is D

Question 6 answer is C

YOUR WELCOME

PLEASE HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

1,4,5,7,9

Step-by-step explanation:

1

Answer:

Step-by-step explanation:

11, 13, 15, 17, & 19.

I had to do that problem a few years ago. :3

-Hope that helps!

In Triangle JKL, K is 3 times the measure of J, and L is 8 times the measure of J. Find the measure of each angle in Triangle JKL.

Answers

Answer: The measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

Step-by-step explanation:

Let the measure of angle J be x.

Then, the measure of angle K will be 3x

and the measure of angle L = 8x

Since the sum of all angles of a triangle is 180 degrees.

Then,

angle J + angle K + angle L = 180 degrees

⇒ x+3x+8x =180

⇒ 12x = 180  

⇒x = 15  [divide both sides by 12]

Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.

i.e. the measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

1. What relationship do you notice between the area of a 3x 3 square, 4 x 4 square, and 5x5 square?
2. What relationship do you notice between the area of a 5x 5 square, 12 x 12 square and 13x13 square?
Whoever answers these thanks!

Answers

Answer:

1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.

Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.

Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.

2) The same relationship

Step-by-step explanation:

1)

3 x 3  = 9

4 x 4 = 16

5 x 5 = 25

2)

5 x 5 = 25

12 x 12 = 144

13 x 13 = 169

\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) ​ =∣x∣ =∣x∣+1 ​ We can think of ggg as a translated (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.

Answers

Answer:

To get the function g, shift f by 1 unit.

Step-by-step explanation:

Given

[tex]\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}[/tex]

Required

How do f(x) translates to g(x)

In terms of f(x), g(x) can be represented as:

[tex]g(x) = f(x) + k[/tex]

Where

[tex]f(x)= |x|[/tex]

and

[tex]k = 1[/tex]

This implies that f(x) is vertically shifted 1 unit up to get g(x)

Answer:

To get the function g, shift f up by 4 units and to the left by 2 units.

Step-by-step explanation:

To get the function g, shift f up by 4 units and to the left by 2 units.

that's the answer to the khan academy one

Write the expression as a simplified rational expression. Show your work.
5/(1/6+1/(x+1))

Answers

Answer:

30(x+1)/x+7

Step-by-step explanation:

HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2

Answers

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

How would I solve it? I know the formula but not sure how to apply it.

Answers

If I’m right I think it’s 295.2

Find the area of the figure. Use 3.14 for π.

Answers

Answer:

146.93 m^2

Step-by-step explanation:

1. Area of the triangle plus the area of the semicircle.

2. Triangle: b x h x .5 14 x 10 x .5= 70

3. area of semicircle: (πr^2).5 7^2 x π x .5 = 76.93

We halved the area of a circle since we have half a circle.

4. 76.93+70= 146.93

happy april fools day you nerds now take my points

Answers

Happy April fools day ?

Answer:

WOW THANK YOU SO MUCH!

Step-by-step explanation:

I'm more of a dog lover and not a nerd, but hey I'll take what I can get!

If your like dogs, can you guess what kind of dog this is?

(yes they are all the same breed just different coat colors)

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