In Exercise 8, find the value of x for the right triangle. 8. 10 30

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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In Exercise 8, find the value of x for the right triangle.
8.
10
30
9. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation
from the boat to the parasailor is 36°. Estimate the parasailor's height above the
boat. Round your answer to the nearest tenth.
47
10. A cable is attached to the top of a pole and mounted to the ground 3 feet from
the base of the pole. The angle of elevation from the mounting to the top of the
pole is 78°. Estimate the height of the pole. Round your answer to the nearest
tenth.
Sin 30=116
5= |16
11. A radio transmission tower at your
14 ft I
local television station is 130 feet tall,
as shown in the figure. How long should
a guy wire be if it is to be attached
14 feet below the top of the tower and
make a 30° angle with the ground?
30°
232 =k
232
12. In a right triangle, 0 is an acute angle and sin 0 = 4. Evaluate the other five
trigonometric functions of 0.
Find the value of x for the right triangle.
13.
14.
15
45°
30°
10
X-26
4.
Transcribed Image Text:In Exercise 8, find the value of x for the right triangle. 8. 10 30 9. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation from the boat to the parasailor is 36°. Estimate the parasailor's height above the boat. Round your answer to the nearest tenth. 47 10. A cable is attached to the top of a pole and mounted to the ground 3 feet from the base of the pole. The angle of elevation from the mounting to the top of the pole is 78°. Estimate the height of the pole. Round your answer to the nearest tenth. Sin 30=116 5= |16 11. A radio transmission tower at your 14 ft I local television station is 130 feet tall, as shown in the figure. How long should a guy wire be if it is to be attached 14 feet below the top of the tower and make a 30° angle with the ground? 30° 232 =k 232 12. In a right triangle, 0 is an acute angle and sin 0 = 4. Evaluate the other five trigonometric functions of 0. Find the value of x for the right triangle. 13. 14. 15 45° 30° 10 X-26 4.
A ship is headed directly toward a coastline formed by a vertical cliff (BC)
that is 80 meters high. At point A, from the ship, the measure of the angle
of elevation to the top of the cliff (B) is 10°. A few minutes later, at point D,
the measure of the angle of elevation to the top of the cliff has increased to
20°. In Exercises 15-17, round your answer to the nearest meter.
80 m
10
20°
15. DC
16. AC
17. the distance between the two sightings
Transcribed Image Text:A ship is headed directly toward a coastline formed by a vertical cliff (BC) that is 80 meters high. At point A, from the ship, the measure of the angle of elevation to the top of the cliff (B) is 10°. A few minutes later, at point D, the measure of the angle of elevation to the top of the cliff has increased to 20°. In Exercises 15-17, round your answer to the nearest meter. 80 m 10 20° 15. DC 16. AC 17. the distance between the two sightings
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