A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.

Answers

Answer 1

Answer:

11.28m

Step-by-step explanation:

The computation of the height of the spire is shown below:

let us assume the height of the spire be x

Now

For triangle ABD

Tan 43 degrees = h ÷ x

x = h × cot 43 degrees

= 1.07236 h

For triangle ABC

tan 15 degrees = h ÷ (30 + x)

0.2679 = h ÷ 30 + 1.07236h

8.038 + 0.28728 h = h

h = 11.28m


Related Questions

Simplify. Write your answer in standard form.


(4x^3+6x−7)+(3x^3−5x^2−5x+9)

Answers

answer: 7x^ - 5x^2 + x + 2

step-by-step explanation: i think thats it

Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *

Answers

Answer:

40.00-30.98=x

Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs in simplest form.

Answers

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]

[tex]AB \approx 7.616[/tex]

BC

[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]

[tex]BC \approx 6.325[/tex]

AC

[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]

[tex]AC \approx 5.831[/tex]

Now we determine the area of the triangle by Heron's formula:

[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)

[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)

Where:

[tex]A[/tex] - Area of the triangle.

[tex]s[/tex] - Semiparameter.

If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:

[tex]s \approx 9.886[/tex]

[tex]A = 18[/tex]

The area of the triangle is 18 square units.

Can someone pls help im new to this

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{-10}{-2} \\\\5[/tex]

HELP DUE IN 7 MINUTES ​

Answers

Answer:

1. 0,5

2. Move 5 units east

3. You need to plot checkpoint B on a graph, then you need to follow the instructions then you end up on 0,5. Which Ultimately is checkpoint C.

Hope this Helps!

1-x⁴
is it polynomial?​

Answers

yes 1-x^4 is a polynomial

Richard is frustrated. He knows the line to the right should have a 3 and a 4 in the equation but he can't remember if it is y = 4x + 3 or y = 3x + 4. a. Which equation is correct? How do you know?

Answers

Answer:

The correct equation is "y=4x+3"

Step-by-step explanation:

Given equation:

[tex]y= 4x+3 \ \ or \ \ y=3x+4[/tex]

As per the given line formula:

[tex]\to y=mx+c[/tex]

The slope(m) of the line is [tex]\frac{4}{1} = 4[/tex]  and y-intercept at 3, that is the point (c). So, the correct equation of the line:   [tex]y = 4x + 3[/tex]

Anacondas are snakes found in South America. Anacondas can measure over 1612 feet in length. How many inches are in 1612 feet?

Answers

Answer:

165 inches

Step-by-step explanation:

simplify
please help me!!!!

Answers

Decimal form: 5.656854249
Exact form: 4√2

Are the figures congruent? Explain.

Answers

I’m on the same question

Testimated the ceiling was 10 ft tall.
The acutal height of the ceiling was
12 ft tall. What is my percent of error?

Answers

20% is your percent m of error in this problem

pls help me with #3 I don’t understand

Answers

Answer:

h ≈ 235

Step-by-step explanation:

We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.

Refer to the image below of what the problem should look like.

Refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:

sine = opposite side/hypotenuse

sin(57) = h/280

sin(57) / 1 = h / 280

Cross multiply:

sin(57) (280) = 1 (h)

Input to calculator:

h = 234.827759...

h ≈ 235

−(x − 7)+ 5/3 = 2(x + 9)

Answers

The number I believe you are looking for would be an exact form of -28/9
Or a decimal form would be -3.1 repeating

A boy has 11 coins in dimes and quarters. Their value is $170. How many of each does he have? (Hint: Let x be the number of quarters and 11 - x be the number of dimes.)​

Answers

Answer:

x - number of dimes, y - number of quarters

x + y = 11

0.10 x + 0.25 y = 1.70

0.10 x + 0.25 ( 11 - x ) = 1.70

We can solve it:

0.10 x + 2.75 x - 0.25 x  = 1.70

0.15 x = 1.05

x = 1.05 : 0.15        

x = 7  ( a boy has 7 dimes and 4 quarters )

Answer: D ) 0.10 x + 0.25 ( 11 - x ) = 1.70

Step-by-step explanation:

1.Which answer below represents the
line 5y= 15x+ 10 in the form "y= mx +
c" .

1. 5y= 3x + 2
2.y= 3x + 2
3.y= 5x + 2
O4.y= 3x + 5​

Answers

I think B because you would have to divide by 5 to get y by itself.

(-8,-2);m=3/4 in point slope form

Answers

Answer:

         y + 2 = ³/₄(x + 8)

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

Write the numerical expression that represents the following: 6 times the sum of 12 and 8

Answers

Answer:

12+8*6

Step-by-step explanation:

WORTH 100 POINTS NEED DONE ASAP WRONG ANSWERS WILL BE REPORTED THANK YOUUU

Answers

Answer:

3.

1.x=√(15²-12²)=√81=9

2.x=√(6²+6²)=6√2

3.c=√(√19²-√7²)=√(19-7)=√12

Step-by-step explanation:

4.h=10

a=b=x

we have

by using Pythagoras law

h²=x²+x²

100=2x²

x²=50

x=√50=5√2

both legs =5√2

Multiply (5x - 2)^2

Answers

Answer: that would b 25x^2-20x+4!

Step-by-step explanation:

Answer:

25x^2-20x+4

Step-by-step explanation:

Find the volume of the cylinder.
Either enter an exact answer in terms of " or use 3.14 for T.
2
units3

Answers

Answer:

56.52

Step-by-step explanation:

pi×r²h

=3.14×3²2

=3.14×9×2

=3.14×18

= 56.52³

1/3x1/6 7 more and I’m done

Answers

Answer: 1/18

Step-by-step explanation:

Multiply both Numerators

1x1=1

Multiply both Denominators

3x6=18

1/18

Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie

Answers

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

3x + 0 = 3x

Need help

Answers

I don’t know how to answer needs to be but I think it’s 3X equals 3X

Answer:

x is equal to all real numbers.

Step-by-step explanation:

3x = 3x

No matter what number you substitute for x, 3x will always equal 3x.

Solve the following equation.
PLEASE HELP ASAP NO ROCKY THE EQUATION IS ON THE PICTURE !!!

Answers

Answer shekels X= -2,-3,3



the length of one side of the base of a square pyramid is 15 cm. the height of each face is 40 cm. what is the surface area of the pyramid?

Answers

Answer:

B. 1,425 square centimeters

Step-by-step explanation:

Area of the square pyramid = b² + 2bs

Where,

b = length of square base = 15 cm

s = slant height of each face = 40 cm

Surface area of the pyramid = 15² + 2(15)(40)

= 225 + 1,200

Surface area = 1,425 cm²

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

x = 7

Step-by-step explanation:

15-8=7

HELP I HAVE 5 MINS :(

Answers

Answer:

y intercept is (0,-5)

Step-by-step explanation:

Is at x = 0

Intercepts the y axis

Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.

Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.​

Answers

Answer: Ed should bike at least more than 16 miles

Step-by-step explanation:

11 + 4b > 75

4b > 64

b > 16

Ed should bike 16 miles

Rewrite the expression in the form x^n

Answers

Answer:

[tex]x^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}[/tex]

WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.

Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.

Answers

Answer:

D

Step-by-step explanation:

12.50 x 5 = 62.5

62.5 + 20 = 82.5

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