34 Ft Ladder

A 34-foot-long staircase is facilitated by the building so that the angle between the floor and the staircase is 77 degrees.

A 34-foot-long staircase supports a building so that the angle between the floor and the staircase is 77 degrees. How high are the stairs in the building? Please include the appropriate unit in your answer.

Suppose triangle ABC, angle B, right angle AC is equal to C = 77

Sin = AB / AC

Sin 77 = AB / 34

34xS7777 = AB

34x.9744 = AB

AB = 33.1296 feet

The angle between the wall and the floor is 90 degrees.

The 34-foot scale represents the Hyena.

In SRT we have the right triangle.

According to the opposite wall principle / hyena = sign (theta) there wall height = scale * sign (77 degrees)

Then: H (height) = 34 * sine (77) = 33.12 feet

It is 33.12 feet from floor to floor where the ladder is hitting the wall.

77 = without height / scale

Height without 77 = scale *

= 34 Sin 77

= 33.13 feet