Question

A ladder 5 m long, leaning against a vertical wall makes

Answer 1

The height of the top of the ladder from the ground is 4.53 m

Step-by-step explanation:

Given:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Required:

Height of the top of the ladder from the ground

Equation:

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

$sinθ\:=\: \frac{opposite}{hypotenuse}$

$sin(65°)\:=\: \frac{opposite}{5\: m}$

$opposite\:=\:(5 \:m )\:sin(65°)$

$opposite\:=\:4.53 \:m$

Final Answer:

The height of the top of the ladder from the ground is 4.53 m

Please refer to the photo for the illustration