I am confused: Two math students erect a sun shade on the beach. The shade is 1.5 m tall, 2 m wide, and makes an angle of 60° with the ground. What is the area of shade that the students have to sit in at 12 noon (that is, what is the projection of the shade onto the ground)? (Assume the sun’s rays are shining directly down)

asked by Mathlovin'

16 years ago

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1 answer

The shade will be two m wide still.
However the shadow of the top will be 2 cos 60 from the shadow of the bottom.

answered by Damon

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Question

I am confused: Two math students erect a sun shade on the beach. The shade is 1.5 m tall, 2 m wide, and makes an angle of 60° with the ground. What is the area of shade that the students have to sit in at 12 noon (that is, what is the projection of the shade onto the ground)? (Assume the sun’s rays are shining directly down)

1 answer

The shade will be two m wide still.
However the shadow of the top will be 2 cos 60 from the shadow of the bottom.

Damon · Answer

The shade will be two m wide still. However the shadow of the top will be 2 cos 60 from the shadow of the bottom.