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Directions: Give each trig ratio as a fraction in simplest form.
1.
Directions: Solve for x. Round to the nearest tenth.
Name: __________________________________ Unit 8: Right Triangles & Trigonometry
Date: ________________________ Per: ______ Homework 6: Trigonometry Review
• sin D = _________
• cos D = _________
• tan D = _________
• sin E = _________
• cos E = _________
• tan E = _________
** This is a 2-page document! **
D (^) E
F
29
20
62 °^25
x 26 °
x
11
32 48 °
x 12 °
x
29
9
17
x °
x ° 15
14
45
x °
43
23
19
x °
© Gina Wilson (All Things Algebra®, LLC), 2014-
10. Jada is standing 10 feet from the base of tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 55°. Find the height of the nest. 11. The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76 °. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon. 12. A fire hydrant sits 72 feet from the base of a 125-foot tall building. Find the angle of elevation from the fire hydrant to the top of the building. 13. A surfer is riding a 7-foot wave. The angle of depression from the surfer to the shoreline is 10°. What is the distance from the surfer to the shoreline? 14. A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23°. If the tower is 140 feet tall, find the ground distance between the cables.
© Gina Wilson (All Things Algebra®, LLC), 2014-
