From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18 degrees. Calculate the height of the flagpole to the nearest then of a meter.

Question

asked Jan 21, 2022 169k views

1 Answer

Jeff Nyman · Answer 1 · 2022-01-27T13:07:36+0000

Answer: 84.1m

Explanation:

Let the height of the flagpole be represented by x.

First and foremost, we have to know that the cosine of 18° = 0.9511.

The equation to get the height will then be:

0.9511 = 80/x

Cross multiply

(0.9511 × x) = 80

0.9511x = 80

Divide both side by 0.9511

0.9511x/0.9511 = 80/0.9511

x = 84.1

The height of the flagpole is 84.1m