Question

A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 81 degrees. How high does the ladder reach on the building? the answer is in ft

Answer 1

25.7 feets

Explanation:

From the diagram attached, we could use trigonometry to obtain the height,h :

Using the trigonometric relation :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 26 feets

Sin 81° = h / 26

Height, h = 26 * sin 81°

h = 26 * 0.9876883

h = 25.679

Height, h = 25.7 feets