How far from the base of a building must the bottom of a 15-foot ladder sit in order for it to make a 52 angle with the ground?

Question

3 years ago

15

round to the nearest tenth of a foot.

1 answer:

olga55 [171] · Answer 1 · 2021-11-17T00:02:35+03:00

Answer:

9.2 ft

Step-by-step explanation:

The length of the ladder is 15 ft

The ladder makes an angle of 52° with the ground

The distance (x) from the base of the house to the foot of the ladder is given by;

$\frac{x}{15}$ = cos 52°

x = 15 × cos 52° = 9.23492213 ft

Which equals to 9.2 ft (rounded off to tenth of a foot)