Question

A 17-ft ladder leans against a building so that the angle between the ground and the ladder is 71°. How high does the ladder reach on the building? (Round your answer to the nearest foot.)

Answer 1

there is 16.08 foot high does the ladder reach on the building

Explanation:

The computation of the high does the ladder reach on the building is shown below:

Given that

length of the ladder = 17 ft

angle -between the ground and the ladder = 75 degrees

Based on the above information

Here we used the trig-ratio to calculate the same

`Sin \theta = (oppo)/(hyp) \\\\Sin 71^(\circ) = (h)/(17)`

0.946 × 17 = h

The height is 16.08 foot

Hence, there is 16.08 foot high does the ladder reach on the building