1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the angle of depression of an object on the water's edge on the other side of the lake is 33.6°. What is the distance across the lake? 2. A ship leaves a port and sails 4 hours on a course of 80° at 20 knots. Then the ship changes to a course of 170°. And sails for 8 hours at 18 knots. After 12 hours, (a) what is the distance of the ship from the port and (b) what is t he bearing from the port to the ship? 3. From the top of the building 60 ft high, the angle of elevation of the top of a vertical pole is 14°. At the bottom of the building the angle of elevation of the top of the pole is 28°. find (1) the height of the pole and (b) the distance of the pole from the building. 4. Point X is at top of a mountain. From a point Y on the ground, the angle of elevation of X is 16.3°. From point Z on the same horizontal line with Y and the foot pf the mountain, the angle of elevation of X is 28.7°. What is the height of the mountain if the distance between Y and Z is 125m?

1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the angle of depression of an object on the water's edge on the other side of the lake is 33.6°. What is the distance across the lake? 2. A ship leaves a port and sails 4 hours on a course of 80° at 20 knots. Then the ship changes to a course of 170°. And sails for 8 hours at 18 knots. After 12 hours, (a) what is the distance of the ship from the port and (b) what is t he bearing from the port to the ship? 3. From the top of the building 60 ft high, the angle of elevation of the top of a vertical pole is 14°. At the bottom of the building the angle of elevation of the top of the pole is 28°. find (1) the height of the pole and (b) the distance of the pole from the building. 4. Point X is at top of a mountain. From a point Y on the ground, the angle of elevation of X is 16.3°. From point Z on the same horizontal line with Y and the foot pf the mountain, the angle of elevation of X is 28.7°. What is the height of the mountain if the distance between Y and Z is 125m?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 3E

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