Question

A zip line starts 35 feet above the ground and has one landing platform. The line is secured into the ground

Answer 1

The height of the platform is 20 ft

Explanation:

In the figure attached, the problem is shown.

Let's call α to the angle opposite to the 35 ft side. From sine definition:

sin α = opposite/hypotenuse

Taking into consideration both, major and minor triangles:

sin α = 35/(40.5 + 54) = x/54

where x can be isolated, as follows:

x = 35/(40.5 + 54) * 54 = 20 ft

Answer 2

the complete question in the attached figure

we know that

(35)/(40.5+54)=x/54-------- > (35)/(94.5)=x/54---------> x=(54)*(35)/(94.5)

X=20 ft

the answer is 20 ft