A 22ft ladder leans against a building so that the angle bet

A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 76 degree. How high does the ladder reach on the building? Round to the hundredths. (2 decimal places)

Solution

This is Right angle triangle problem.

Here Length of ladder = Hypt = H = 22 ft

Height of wall upto where ladder reach = Perpendicular = P = ?

Theta = 76 degree

Now P/H = sin(Theta)

P =22*sin76 = 21.35 ft