Geometry / Mr. Hansen 3/5/2003

Name: _______________________

Answer Key to Trigonometry Problems Worksheet
Note: You must show your work, and a diagram where appropriate, in order to earn full credit.

Part I
1.	10.0 cm
2.	34.8° or 34°51'
3.	28.1° or 28°04'
4.	23.6 cm
5.	90.3 feet [Let R be the vertex of the rt. Ð. Compute AR and BR by trigonometry, and then compute x by subtraction.]
6.	7.3 inches [Let M be the midpoint of segment JK. Since ÐJHM = 27°, use trigonometry to find JM. Then double that answer.]
Part II
1.	30.6° or 30°37' [be sure your angle of elevation is with respect to the horizontal]
2.	123 m [be sure your angle of elevation is with respect to the horizontal]
3.	270 m
4.	492.8 feet [Make an isosceles D with vertex Ð of 80° and legs of 150'. Bisect the vertex Ð, and let M be the midpoint of the opposite side. Use trigonometry to find half the length of the unknown side, as in problem #6 above. Then double that answer, and add 300' to get total perimeter.]
5.	286.2 feet [be sure your angle of elevation is with respect to the horizontal]
6.	7.6 inches