Question

You are standing 140ft from the base of a platform which people are bunjee jumping. The angle of elevation from your position to the top of the platform is 48 degrees how high is the platform?

Answer 1

1.) Θ = 51° 
x = 100 ft. 

Tan Θ = y/x 
y = x Tan Θ 
y = 100(1.235) 
y = 123.5 ft. 
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2.) T = 150 ft. 
M = 1200 ft. 
y = T + M 
y = 150 + 1200 
y = 1350 ft. 

x1 = 5 mi. 
x1 = 5(5280) 
x1 = 26,400 ft. 

h= 400 ft. 

y / h = x / x1 
x = x1y / h 
x = [(26,400)(1350] / 400 
x = 89,100 

Θ = Tan ˉ¹ (y / x) 
Θ = Tan ˉ¹ (1350 / 89,100) 
Θ = Tan ˉ¹ (0.0152) 
Θ = 0.868° 
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3.) x = 4000 ft. 
Θ = 34° 
y = x Tan Θ 
y = 4000 Tan 34° 
y = 4000(0.6745) 
y ≈ 2,698 ft.