A maintenance technician sights the top of a telephone pole at a 25° angle of elevation as shown. Technician Telephone Pole Determine the horizontal distance between the technician and the base of the telephone pole to the nearest tenth of a foot. Enter your answer in the box.

Step-by-step explanation:

Given

See attachment for illustration

Required

Determine the horizontal distance

The horizontal distance is the distance between the technician and the base of the pole.

Represent this with x.

The relationship between x, 175ft and 25 degrees is represented as:

--- i.e. tan formula

Multiply both sides by x

Make x the subject

--- approximated

The distance is approximately 375.3ft

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq