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A 40.0-m guy wire is attached to the top of a 31.8-m antenna and to a point on the ground. How far is the point on the ground from the base of the antenna, and whatangle does the guy wire make with the ground?The point on the ground is(Round to the nearest tenth as needed.)meters away.The wire makes an angle ofwith the ground(Do not round until the final answer. Then round to the nearest tenth as needed.)XMore(40)Enter your answer in each of the answer boxes.ince t

Question

Please help. I’ve done this question 3 times and got it wrong. I don’t know what I’m doing wrong. 

It reads: a 40.0 guy wire isn’t attached to the he top of a 31.8-m antenna and to a point on a ground. How far Is the point on the ground from the base of the antenna, and what angle does the guy wire make with the ground? 

 

The point on the  ground is ___ meters away. 

 

The wire makes an angle of ___ degrees with the ground. 

A 40.0-m guy wire is attached to the top of a 31.8-m antenna and to a point on the ground. How far is the point on the ground from the base of the antenna, and what
angle does the guy wire make with the ground?
The point on the ground is
(Round to the nearest tenth as needed.)
meters away.
The wire makes an angle of
with the ground
(Do not round until the final answer. Then round to the nearest tenth as needed.)
X
More
(40)
Enter your answer in each of the answer boxes.
inc
e t
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A 40.0-m guy wire is attached to the top of a 31.8-m antenna and to a point on the ground. How far is the point on the ground from the base of the antenna, and what angle does the guy wire make with the ground? The point on the ground is (Round to the nearest tenth as needed.) meters away. The wire makes an angle of with the ground (Do not round until the final answer. Then round to the nearest tenth as needed.) X More (40) Enter your answer in each of the answer boxes. inc e t

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Step 1

The given situation can be inscribed in a right angled triangle as follows.

40 m
31.8 m
х т
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40 m 31.8 m х т

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Step 2

Obtain the distance between the base of the anten...

Observe that the required distance is the base of the right angled triangle
The base can be calculated using the Pythagorus theorem
x2= 401.8
= 1600-1011.24
/588.76
24.26 m
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Image Transcriptionclose

Observe that the required distance is the base of the right angled triangle The base can be calculated using the Pythagorus theorem x2= 401.8 = 1600-1011.24 /588.76 24.26 m

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Math

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Trigonometric Ratios

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