Question

What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tenth)

Answer 1

Answer:6.9

Explanation:

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Answer 2

6.9 foot.

Explanation:

Given: Length of lamp post= 12-foot.

The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for
`Tan\theta`=
`(Opposite)/(adjacent)`

Next, putting the value in the formula.

⇒
`Tan 60° = (12)/(adjacent)`

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent=
`(12)/(√(3) ) = 6.92` ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.