A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder rea

Question

2 years ago

7

ch on the building?

1 answer:

vodka [1.7K] · Answer 1 · 2023-10-30T00:39:11+03:00

The height of the ladder on the building is 19.77 feet

<h3>How high does the ladder reach on the building?</h3>

Represent the height of the ladder on the building with h

So, the given parameters are:

Angle, x = 64 degrees

Length of ladder, l = 22 feet

The height of the ladder on the building is calculated using

sin(x) = h/l

Substitute the known values in the above equation

sin(64) = h/22

Multiply both sides by 22

h = 22 * sin(64)

Evaluate the product

h = 19.77

Hence, the height of the ladder on the building is 19.77 feet