Question

In the World Cup Downhill held at Panorama Mountain Village in British Columbia, the skiers raced 3514 m down the mountain. If the vertical height of the course was 984 m, determine the average angle of the ski course with the ground.

Answer 1

16.3°

Explanation:

This question above is a Trigonometry question that is solved using the formula of Sine

sin θ = Opposite/Hypotenuse

Opposite = The vertical height of the course = 984 m

Hypotenuse = The distance the skiers raced down the mountain = 3514 m

θ = The average angle of the ski course with the ground = ?

sin θ = 984 m/3514 m

sin θ = 0.2800227661

θ = arc sin (0.2800227661)

= 16.261563463°

≈ 16.3°

Therefore, the average angle of the ski course with the ground is 16.3°