Question

A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30° angle. How long is the rope, rounded to the tenth place?

Answer 1

Answer: Length of the rope will be 20.0 ft.

Explanation:

In this question height of the tent pole has been given as 10 ft and the rope makes an angle of 30°from the ground.We have to calculate the length of the rope or length of hypotenuse of the triangle formed.

We know that Sin∅ of any right angle triangle = height/hypotenuse

Sin 30°= 10/h

h = 10/Sin30°

h = 10/(1/2)

h = 20.0 ft.