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pogonyaev
3 years ago
5

A guy wire makes a 67° angle with the ground. Walking out 32 feet further from the tower, the angle of elevation to the top of t

he tower is 39°. Find the height of the tower.

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

20.9 feet

Step-by-step explanation:

<em>The figure attached below can be formed through the information given.</em>

<u>Step 1: Find angle y</u>

<em>All angles of a triangle are equal to 180°</em>

<em>67 + 39 + y = 180</em>

<em>y = 74°</em>

<u>Step 2: Use sin formula to find H</u>

<em>a/sin a = b/sin b</em>

<em>32/sin 74 = b/sin 39</em>

b = 20.9 feet.

The height of the tower is 20.9 feet.

!!

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