A ladder that is 32 ft long leans against a building. The angle of Elevation of the Ladder is 70 degrees

How high off the ground is the top of the ladder???


A.20ft
B.30Ft
C.26ft
D.39ft

Respuesta :

Answer:

B. 30 ft

Step-by-step explanation:

The ladder is 32 ft long

The angle of elevation of the ladder is 70°

The height (h) of the top of the ladder to the ground is what we are to find.

[tex]\frac{h}{32}[/tex] = sin 70°

h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)