Download Right Triangle/Trigonometry Review WS

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Total Score: _______/50
Right Triangle/Trigonometry Review WS
___/3 Simplifying Radicals
1.
75 ±5√3
2.
25a 4b5 ±5a2b2√b
3.
(4)(36) ±12
___/3 Type of Triangle
Determine whether each set of numbers can be measures of sides of a right triangle. If not, what type of
triangle is it?
4. 15, 36, 39 right
5. 2, 3, 2 obtuse
6. 5, 7, 12 not triangle
___/5 Geometric Means
Find the geometric means between each pair of numbers.
7. 3 and 12
±6
8. 6 and 9
3 6
9. Find the values of x, y and z. (3pts)
x = 4√2, y = 4√3 z = 4√6
_____/10 Trig Ratios
10. Find
a. sin C = 15/17
b. cos C = 8/17
c. tan C = 15/8
A
15
B
11. Find
a. sin B = 8/10 or 4/5
b. cos B = 6/10 or 3/5
c. tan B = 8/6 or 4/3
8
A
8
10
17
12. Find the following:
a. cos A = 7/25
b. sin A = 24/25
c. tan A = 24/7
C
6
C
B
13. What does SOH-CAH-TOA stand for? Sin = op/hyp; cos = adj/hyp; tan = op/adj
___/4 Misc
14. Name the 5 sets of Pythagorean triples.
3-4-5, 5-12-13, 7-24-25, 8-15-17, 9-40-41
15. Find the perimeter of a rhombus with diagonals of 6 and 10. 4√34
16. David skied 2km north, 2km west, 1 km north and 2km west. How far did he ski?
5 (3x4)
17. A 25-ft ladder just reaches a point on a wall 24-ft above ground. How far is the foot of the ladder
from the wall? 7ft
Right Triangle/Trig Review WS
1
Rev D.1
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___/6 Angle of Elevation/Depression (2pts each)
18. A sonar operator on a cruiser detects a submarine at a distance of 500m and an angle of depression
of 37. How deep is the sub?
Sin 37 = x/500 x = 300.9
19. The top of a signal tower is 120m above sea level. The angle of depression from the top of the
tower to a passing ship is 25. How many meters from the foot of the tower is the ship?
tan 25 = 120/x x = 120/tan 25 = 257.3
20. Antonio is flying a kite. He lets out 500ft of kite string. The kite is flying so that Antonio’s angle
of elevation is 36º. How high above the ground is the kite?
Sin 36 = x/500 x = 294ft
_____/7 Missing Sides
Find the values of the missing sides.
21. x = 9.8
22. x = 165.4
Find the values of x and y. Write all radicals in simplest form.
23. x = 7√3, y = 14√3
24. x=y= 8√2
x
cm
21
x
25. X = 5√34
16
15 cm
y
30
y
45
25 cm
x
_____/12 Solve Triangles
Solve each ∆ABC described below. Round angle measures to nearest degree and side measures to the
nearest tenth.
26. C=90º, A=63º, a=9.7 27. C=90º, a = 2, b=7
28. A=52º, C=90º a=4
29. A= 42º, b=120, c=120
B=27º,c=10.9,b=4.9
c=7.3,A=16º,B=74º
Right Triangle/Trig Review WS
2
B = 38º, b = 3.1, c = 5.1
a = 86, B = C = 69º
Rev D.1