Astatue is mounted on top of a 16 foot hill. from the base of the hill to where you are standing is 77 feet and the statue subtends an angle of 13.2° to where you are standing. find the height of the statue.

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

ft.

the height of the statue is 2.0565 ft.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

step-by-step explanation: