math help needed asap

Question

A 21-ft ladder leans against a building so that the angle between the ground and the ladder is 64∘

How high does the ladder reach on the building?  ft

Answer 1

21 foot ladder is the hypotenuse of a right triangle

64 degrees

use a calculator with trig functions

21cos64 = 9.21 feet from the bottom = the base of a right triangle

21sin64 = 21(.8988) = 18.87467 feet high as the height the ladder reaches, the height of a right triangle.

round off to two decimal places and height = 18.87 feet high

9.21^2 + 18.87^2 = 84.82 + 356.25 = 441.07

sqr441 = 21 feet

the ladder reaches about 19 feet on the building