Answer number 2. Step by step solution and Explain 1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, theangle 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 changesto a course of 170°. And sails for 8 hours at 18 knots. After 12 hours, (a) what is thedistance 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 poleis 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 Xis 16.3°. From point Z on the same horizontal line with Y and the foot pf the mountain, theangle of elevation of X is 28.7°. What is the height of the mountain if the distance betweenY and Z is 125m?

Answered: Image /qna-images/answer/26a4b3e3-b54f-454b-8262-98a403b4b0f8.jpg

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?

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?

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.4: Applications

Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...

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Question

Answer number 2. Step by step solution and Explain

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?

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