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1 vote
A roller coaster travels 18.0 m at an angle of 13.0° above the horizontal. How far does it move horizontally? Answer in units of m.

User Glued
by
5.2k points

1 Answer

4 votes

Answer:

here is an example

try to solve by this

x

=

126

10

,

28

m

Explanation:

Drawing the sketch and filling in all the data, we observe that it is a closed triangle where the cosine rule is valid to find the required side for the magnitude of the displacement.

This yields :

x

2

=

85

2

+

45

2

2

(

85

)

(

45

)

cos

150

Solving we get

x

=

126

m

Then to find the direction of the displacement, we may use the sine rule or the cosine rule in the same triangle to yield that the angle of displacement from the horizontal is

10

,

28

.

User Piet
by
5.6k points