Question

Find the distance from point B to point C.

Answer 1

Using relations in a right triangle, it is found that the distance from point B to point C is of 3.75 miles.

What is the missing information?

The right triangle is missing, which shows that:

• The side adjacent to the angle of 58º is of 6 mi.

• The side opposite to the angle of 58º is of BC.

Hence, we can apply the relations in the right triangle given to find the length of side BC, which is the distance from point B to point C.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

• The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

• The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

• The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Hence:

tan(58º) = 6/BC

BC = 6/tan(58º)

BC = 3.75 miles.

The distance from point B to point C is of 3.75 miles.

More can be learned about relations in a right triangle at brainly.com/question/26396675

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