The look-out point of a tower is 60 feet above the ground. a man observes a fountain from the look-out point. the angle of depression to the fountain is 25°. what is the distance from the base of the tower to the fountain? round the answer to the nearest foot.
a. 54 ft
b. 66 ft
c. 129 ft
d. 142 ft

Solve using the law of tangents.

The answer is C. 129 ft.

See the attached picture.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

what's the question?

step-by-step explanation:

there is no question.