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MATH. QUESTION IN PICTURE :))

MATH. QUESTION IN PICTURE :))-example-1
User Marslo
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1 Answer

2 votes

Answer:

Let's start by drawing a diagram of the situation:

B

|

|

7 mi | 5 mi

A -----x---x----- boat

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|

From the diagram, we can see that we have a right triangle with legs of 5 miles and (7 - x) miles, where x is the distance from B to the boat. The angle opposite the leg of length (7 - x) is (90 - 62) = 28 degrees, since the bearing of the boat from B is N62degreesE.

Using the tangent function, we can set up the equation:

tan(28) = (5 / (7 - x))

Solving for x, we get:

x = 3.86 miles

Rounding to the nearest tenth of a mile, we get:

x ≈ 3.9 miles

Therefore, the boat is approximately 3.9 miles from B.

User Stropitek
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