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Pls I need your help in finding this math problem​

Pls I need your help in finding this math problem​-example-1
User Borjagvo
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1 Answer

15 votes
15 votes

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Answer:

(a) 38.3 m horizontal distance

(b) 82.1 m high

Explanation:

I like a graphical solution to this problem (attached).

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If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.

tan(65°) = t/h

tan(40°) = (t -50)/h

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Multiplying both equations by h and substituting for t, we have ...

h·tan(40°) = h·tan(65°) -50

h = 50/(tan(65°) -tan(40°)) . . . . solve for h

h ≈ 38.3022

Then the tower height is ...

t = h·tan(65°) ≈ 82.1394

The tower is about 38.3 m distant and 82.1 m high.

Pls I need your help in finding this math problem​-example-1
User Falmarri
by
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