Real Life Examples of Trigonometry

Real-life examples of trigonometry include

• a pilot's angle of descent

• height of a tree using the length of its shadow

• volume of water in swimming pool

Q1. What is the angle of a right triangle?

• A) 30°

• B) 60°

• C) 45°

• D) 90°

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m

• 4√3 m

• 4⁄√3 m 

• 4 m

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____

• 30°

• 60°

• 45°

• 90°

There are 2 boatdocks located along the river where I will be camping. From my campsite, boatdock A is located downstream 4.15 miles and boatdock B is located upstream 5.33 miles. The angle formed at my campsite between these two distances is 80 degrees. What is the distance between the two boatdocks rounded to the nearest tenth.

A spectator is watching a rocket launch. He is 2 miles from where the rocket takes off. 3 seconds after the launch his angle of elevation to the rocket is 20 degrees. 10 seconds later his angle of elevation to the rocket is now 55 degrees. What is the distance that the rocket traveled in those 10 seconds? Round your answer to the nearest hundredth. Make sure you show all work!!!

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Which of the following is a "real-world" example of a trigonometric graph?

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What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine

• cosine

• tangent

• inverse sine

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building? 

• 220.3 ft. 

• 100 ft.

• 86.6 ft. 

• 73.8 ft.