41. Indirect Measurement A communications tower has wires anchoring it to the ground. Each wire is attached to the tower at a height 20 ft above the ground. The length y of the wire is modeled with the function y the measure of the angle formed by the wire and the ground. a. Graph the function. b. Find the length of wire needed to form an angle of 45°. c. Find the length of wire needed to form an angle of 60°. d. Find the length of wire needed to form an angle of 75°. 20 csc 0, where 0 is

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter3: Radian Measure
Section: Chapter Questions
Problem 4GP
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Number 41
Use the graph of the appropriate reciprocal trigonometric function to fhnd
each value. Round to four decimal places.
33. sec 30°
34. sec 80°
35. sec 110°
36. csc 30°
37. csc 70°
38. csc 130°
39. cot 30°
40. cot 60°
41. Indirect Measurement A communications tower has wires anchoring it to the
ground. Each wire is attached to the tower at a height 20 ft above the ground.
The length y of the wire is modeled with the function y = 20 csc 0, where 0 is
the measure of the angle formed by the wire and the ground.
a. Graph the function.
b. Find the length of wire needed to form an angle of 45°.
c. Find the length of wire needed to form an angle of 60°.
d. Find the length of wire needed to form an angle of 75°.
Evaluate each expression. Write your answer in exact form. If appropriate, also
tate it as a decimal rounded to the nearest hundredth. If the expression is
ndefined, write undefined.
43. sec (-30°)
Transcribed Image Text:Use the graph of the appropriate reciprocal trigonometric function to fhnd each value. Round to four decimal places. 33. sec 30° 34. sec 80° 35. sec 110° 36. csc 30° 37. csc 70° 38. csc 130° 39. cot 30° 40. cot 60° 41. Indirect Measurement A communications tower has wires anchoring it to the ground. Each wire is attached to the tower at a height 20 ft above the ground. The length y of the wire is modeled with the function y = 20 csc 0, where 0 is the measure of the angle formed by the wire and the ground. a. Graph the function. b. Find the length of wire needed to form an angle of 45°. c. Find the length of wire needed to form an angle of 60°. d. Find the length of wire needed to form an angle of 75°. Evaluate each expression. Write your answer in exact form. If appropriate, also tate it as a decimal rounded to the nearest hundredth. If the expression is ndefined, write undefined. 43. sec (-30°)
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