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34kurt
2 years ago
8

A boat is approaching a cliff known to be 40m tall. The angle of elevation is 30°. How far away is the boat from the cliff?

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0

Answer:

x = 40 * \sqrt{3}  meters

Step-by-step explanation:

You have a 30-60-90 right triangle in this situation.

the height of this triangle is 40 meters

the opposite angle is 30 degrees.

use the tangent.

let x = distance between boat and cliff

tan 30 = 40/x

1/root (3) = 40/x

x = 40 * \sqrt{3}  meters

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see below

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804.5 meters. to yards

Step 1:

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Step 2:

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3 0
2 years ago
Jaime finished analyzing a set of data with an explanatory variable x and a response variable y. He finds that the mean and stan
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7 0
2 years ago
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