A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder

reach? Round the answer to the nearest tenth of a foot.

13.8 ft

23.8 ft

26.3 ft

80.9 ft

Question

Mathematics

Andreas Schaefer

4 July, 01:05

A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder

reach? Round the answer to the nearest tenth of a foot.

13.8 ft

23.8 ft

26.3 ft

80.9 ft

+4

Answers (1)

Know the Answer?

Alena Calhoun · Answer 1

23.8 ft

Step-by-step explanation:

Trigonometry:

We already know the angle, adjacent side and hypotenuse.

So the formula would be using the cosine ratio:

cos18 = adjacent side over the hypotenuse aka (x/25)

x = cos18 * 25

= 23.8 ft

A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladderreach? Round the answer to the nearest tenth of a foot.13.8 ft23.8 ft26.3 ft80.9 ft

A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder

reach? Round the answer to the nearest tenth of a foot.

13.8 ft

23.8 ft

26.3 ft

80.9 ft