Question

An 8-foot ladder rests against the side of a building. The ladder forms a 43 degrees angle with the ground. How high up the building does the ladder rest. Round to two decimal places.

Answer 1

Answer: 5.45 ft

Step-by-step explanation:

Given

The length of the ladder is 8 ft

Inclination ladder makes with the ground is $43^{\circ}$

Suppose ladder reaches up to a height of h

From the figure, we can write

$\Rightarrow \sin 43^{\circ}=\dfrac{h}{8}\\\\\Rightarrow h=8\sin 43^{\circ}\\\Rightarrow h=5.45\ ft$

The ladder reaches up to a height of 5.45 ft