Astatue is mounted on top of a 21 foot hill. from the base of the hill to where you are standing is 57feet and the statue subtends an angle of 7.1° to where you are standing. find the height of the statue.

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

=Angle subtended by the statue to where you are standing.

= which is unknown.

Let us begin solving now. The first step is to find the angle which can be found by using the following trigonometric ratio in :

Which gives to be:

Now, we know that and can be added to give us the complete angle in the right triangle .

We can again use the tan trigonometric ratio in to solve for the height of the statue, h.

This can be done as:

Thus, the height of the statue is approximately, 8.45 feet.

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length