Amanda G.

asked • 16d# Height of a Statue

A statue is mounted on top of a 42 foot hill. From the base of the hill to where you are standing is 73 feet and the statue subtends an angle of 10.3° to where you are standing. Find the height of the statue.

A. 8.5 feet

B. 28.7 feet

C. 24.3 feet

D. 19.7 feet

## 3 Answers By Expert Tutors

Doug C. answered • 16d

Math Tutor with Reputation to make difficult concepts understandable

Stephen C.

15d

Mark M. answered • 16d

Mathematics Teacher - NCLB Highly Qualified

Draw and label a diagram!

h represents the height of the statue

(h + 42) / 73 = tan 79.7° (10.3° as angle of depression)

(h + 42) / 73 = 5.50

h + 42 = 401.693

h = 359.693

(h + 42) / 73 = tan 10.3°

(h + 42) / 73 = 0.1817

h + 42 = 13.2663

h = -28.7446

Please check the data.

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Mark M.

16d