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1. The angle of elevation to the top of the flagpole is 34° from a point 48 meters from the base of the flagpole. What is the height of the flagpole? 2. When the angle of elevation of the sun is 61º, the building casts a horizontal shadow of 50 meters. How high is the building? 3. Aries stands 105 feet away from the base of the tree. He measured the angle of elevation to the top of the tree is 72°. How tall is the tree?

1. The angle of elevation to the top of the flagpole is 34° from a point 48 meters from the base of the flagpole. What is the height of the flagpole? 2. When the angle of elevation of the sun is 61º, the building casts a horizontal shadow of 50 meters. How high is the building? 3. Aries stands 105 feet away from the base of the tree. He measured the angle of elevation to the top of the tree is 72°. How tall is the tree?

Trigonometry (MindTap Course List)
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 39PS: Height of a Flagpole Two people decide to estimate the height of a flagpole. One person positions...
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ANGLE OF ELEVATION ACTIVITY 3: TEST YOURSELF! Direction: Solve the following problems. 1. The angle of elevation to the top of the flagpole is 34° from a point 48 meters from the base of the flagpole. What is the height of the flagpole? 2. When the angle of elevation of the sun is 61°, the building casts a horizontal shadow of 50 meters. How high is the building? 3. Aries stands 105 feet away from the base of the tree. He measured the angle of elevation to the top of the tree is 72°. How tall is the tree? 4. A 200-ft building casts a horizontal shadow of 120 ft. long. What is the angle of elevation of the sun? 5. If a kite is 150 ft. high when 800 ft. of string is out, what is the angle that the kite makes with the ground?
Transcribed Image Text:ANGLE OF ELEVATION ACTIVITY 3: TEST YOURSELF! Direction: Solve the following problems. 1. The angle of elevation to the top of the flagpole is 34° from a point 48 meters from the base of the flagpole. What is the height of the flagpole? 2. When the angle of elevation of the sun is 61°, the building casts a horizontal shadow of 50 meters. How high is the building? 3. Aries stands 105 feet away from the base of the tree. He measured the angle of elevation to the top of the tree is 72°. How tall is the tree? 4. A 200-ft building casts a horizontal shadow of 120 ft. long. What is the angle of elevation of the sun? 5. If a kite is 150 ft. high when 800 ft. of string is out, what is the angle that the kite makes with the ground?
ANGLE OF DEPRESSION ACTIVITY 3: TEST YOURSELF! Direction: Solve the following problems. 1. From the top of a tower which is 175 ft. tall, the angle of depression to a house is 13°. How far is the house from the tower? 2. From the top of a 115 ft. high lighthouse, the angle of depression of a boat on the sea 10 15'. What is the distance of the boat from the base of the lighthouse? 3. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15. How far is the boat from the base of the cliff? 4. An observer is standing in an overlooking view of Antipolo City. He saw the Sta. Lucia East Grand Mall in Cainta, Rizal. Suppose that the height of the overlooking is 24 km and the horizontal distance of the mall to the observer is 50 km, what is the angle of depression of the observer? 5. A passenger on a plane saw an island below him. If the altitude of the plane 2500 meters above the surface and the horizontal distance of the plane to the island is 1796 meters away, what is the angle of depression of the passenger to the island? >
Transcribed Image Text:ANGLE OF DEPRESSION ACTIVITY 3: TEST YOURSELF! Direction: Solve the following problems. 1. From the top of a tower which is 175 ft. tall, the angle of depression to a house is 13°. How far is the house from the tower? 2. From the top of a 115 ft. high lighthouse, the angle of depression of a boat on the sea 10 15'. What is the distance of the boat from the base of the lighthouse? 3. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15. How far is the boat from the base of the cliff? 4. An observer is standing in an overlooking view of Antipolo City. He saw the Sta. Lucia East Grand Mall in Cainta, Rizal. Suppose that the height of the overlooking is 24 km and the horizontal distance of the mall to the observer is 50 km, what is the angle of depression of the observer? 5. A passenger on a plane saw an island below him. If the altitude of the plane 2500 meters above the surface and the horizontal distance of the plane to the island is 1796 meters away, what is the angle of depression of the passenger to the island? >
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