=10o, find a, c, and
.SIUE MATH 125
Test #3
Math 125
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10. Given a right triangle ABC, with right angle at C, b =
4, =10o, find a, c, and
.
11. A ship, offshore from a vertical cliff known to be 100 ft. in height, takes a sighting of the top of the cliff. If the angle of elevation is 25o, how far offshore is the ship?
Solve each triangle for the missing angles and sides. If more than one triangle exists, solve for both triangles.
12. a = 2, c = 1,
=120o
13. b = 2, c = 3,
=40o
14. b = 4, c = 5,
= 95o
15. Two sensors are spaced 700 ft. apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor is 20o, and from the second sensor to the aircraft it is 15o. Determine the height of the aircraft at this time.
Solve each triangle for all missing angles and sides.
16. a = 6, b = 4,
= 60o
17. a = 4, b = 3, c = 6
18. The distance from home plate to the fence in dead center at Oak Lawn Little League field is 280 ft. How far is it from the fence in dead center to third base? Note: Little League bases are 60 ft. apart
Find the area of each triangle.
19. b = 3, c = 4,
=30o 20. a = 4, b = 3, c
= 6
21. Find the area of the circle cut off by a central angle of 20o but outside the triangle. The radius of the circle is 3.
22. Find the area of the triangle where a = 3,
= 5o, =20o
23. Find the rectangular coordinates of (-3,
)
24. Find the polar coordinates of : (-3,3)
25. Write the equation using polar coordinates.
x2 + y2 = x
ANSWER TO PRACTICE TEST- I did these quickly so if you disagree with my answers – e-mail me.
10. =80o, a = 22.69, c = 23.04
11. 214.45 ft.
12. b = 1.3, = 34.3o,
= 25.7o
13. 1=74.6o
2 = 105.4o
1=65.4o
2 = 34.6o
a1 = 2.83 a2 = 1.77
14. No triangle.
15. 711 ft.
16. c = 5.29, = 79.2o,
= 40.8o
17. = 26.4o,
= 36.3o,
= 117.3o
18. 241.33 ft.
19. 3
20. 5.33
21. 0.32
22. 7.46
23. (2.12, 2.12)
24. (3
, 135o) or in radians (3, 
)
25. r2 = r cos
