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
[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]
[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]
[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]
[tex]opposite\:=\:4.53 \:m[/tex]
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
