A tree grows at an angle of 5° from the vertical due to prevailing winds. At a point d = 43 meters from the base of the tree, the angle of elevation to the top of the tree is a = 30° (see figure).b°a°d m(a) Write an equation that you can use to find the height h of the tree.43sinsin(b) Find the height h of the tree. (Round your answer to one decimal place.)

Answered: Image /qna-images/answer/4a7c8838-19e8-4d64-a8d1-347cf9271640.jpg

Answered: A tree grows at an angle of 5° from the…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.1: Law Of Sines

Problem 45E: Height A tree grows at an angle of 4 from the vertical due to prevailing winds. At a point 40 meters...

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Height A tree grows at an angle of 4 from the vertical due to prevailing winds. At a point 40 meters from the base of the tree, the angle of elevation to the top of the tree is 30 (see figure). (a) Write an equation that you can use to find the height h of the tree. (b) Find the height of the tree.
Environmental Science The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80 E from Pine Knob and S 70 E from Colt Station (see figure). Find the distance of the fire from each tower.
Diameter of the Moon From the earth, the moon subtends an angle of approximately 0.5. If the distance to the moon is approximately 240,000 miles, find an approximation for the diameter of the moon accurate to the nearest hundred miles. (See Example 4 and the discussion that precedes it.)
Leaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?
Gina is standing near a building and notices that the angle of elevation to the top of the building is 68. She then walks 72 feet further away from the building and notices that the angle of elevation to the top of the building is now only 51. Find the height of the building. a. 2511 b. 56ft c. 149ft d. l80ft
Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82. The total height of the building is another 123 meters above the 86th floor. What is the approximate height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend?
A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given time, the bearing to a lighthouse is S70E, and 15 minutes later the bearing is S63E (see figure). The lighthouse is located at the shoreline. What is the distance from the boat to the shoreline?
Calculating a Distance Observers at P and Q are located on the side of a hill that is inclined at 32 to the horizontal, as shown. The observer at P determines the angle of elevation to a hot-air balloon to be 62. At the same instant the observer at Q measures the angle of elevation to the balloon to be 71. If P is 60 m own the hill from Q, find the distance from Q to the balloon.

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