You are driving up a long inclined road. After 2.7km you notice that signs along the roadside indicate that your elevation has increased by 170m. What is the angle of the road above the horizontal?

Question

THIS IS DUE TODAY. Also the other part of the question is: How far do you have to drive to gain an additional 45m of elevation?

Answer 1

Draw and label a diagram!

2.7 km =- 2700 m

tan θ = 170 / 2700

tan θ = 215 / d

Additionl distance is d - 2700

Answer 2

θ = angle of elevation

sin θ = 17/270

x = additional θθtravel distance

215/(2700+x)=tan θ