Question

A ladder 500cm long leans against a building. if the angle of the building is 57 degrees, how far from the wall is the bottom of the ladder. round the answer to the nearest tenth

Answer 1

Answer: We can use trigonometry to solve this problem.

Let x be the distance from the wall to the bottom of the ladder. Then we can use the sine function to relate x and the angle of elevation of the ladder:

sin(57°) = x/500

To solve for x, we can multiply both sides by 500:

x = 500 sin(57°)

Using a calculator, we get:

x ≈ 424.9

Therefore, the bottom of the ladder is about 424.9 cm from the wall, rounded to the nearest tenth.

Explanation: