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A skier descends a mountain at an angle of 35.0º to the horizontal. If the mountain is 235 m long, what are the horizontal and vertical components of the skier's displacement?

2 Answers

2 votes
Opposite from the angle is 134.7905

Adjacent to the angle is 192.5007
User Umesha Gunasinghe
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3 votes

Step-by-step explanation:

It is given that,

Height of the mountain, h = 235 m

A skier descends a mountain at an angle of 35º to the horizontal,
\theta=35^(\circ)

We need to find the horizontal and vertical components of the skier's displacement.

Horizontal component,
x=h\ cos\theta


x=235\ cos(35)=192.5\ m

Vertical component,
y=h\ sin\theta


y=235\ sin(35)=134.79\ m

Hence, this is the required solution.

User Romit Kumar
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5.7k points