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trigonometry

Study Slideshow

A kite with a string 150 feet long makes an angle of 45° with the ground. Assuming the string is straight, how high is the kite?

x=106.07 ft

15

A tree 10 meters high casts a 17.3 meter shadow. Find the angle of elevation of the sun.

30°

15

A plane is flying at an altitude of 12,000m. From the pilot, the angle of depression to the airport tower is 32°. How far is the tower from a point directly beneath the plane?

19204.01m

20

A car is traveling up a slight grade with an angle of elevation of 2°. After traveling 1 mile, what is the vertical change in feet? (1 mile=5280 ft)

184.27ft

20

From the top of a fence, a person sites a lion on the ground at an angle of depression of 24°. If the man and the fence is 4.2 meters high, how far is the man from the lion?

10.33

20

A great white shark swims 22 feet below sea level. If the shark is 67.7 feet from the sailboat, what is the angle of depression of the boat to the shark?

18.96°

25

A bird is flying at a height of 40 feet and spots an 8ft ledge on which to perch. If the top of the ledge is 22° angle of depression from the bird, how far must the bird fly before it can land?

85.42 ft

25

From plane flying due east at 265m above sea level, the angles of depression of two ships sailing due east measure 35° and 25°. How far apart are the ships?

189.9 m

25

From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 34°. How far is the object from the base of the cliff?

59.3m

20

Explain the difference between inverse trig and regular trig

Inverse trig is used only for finding angle measures and regular trig is used for finding side lengths

5

A 15 foot ladder rests against a tree on level ground and forms a 75° angle of elevation. Where is the correct location of the 75° angle?

Between the ladder and the ground

10

Determine if Stephanie or Adam is correct. “A cat, who has climbed a tree, looks down at a dog at a 28° angle of depression. "If the dog is 34 meters from the base of the tree, how high up is the cat?”

Adam

10

Write the trig ratio of sin of M

7/25

5

Write the trig ratio of tan of M

7/24

5

Write the trig ratio of cos E

7/25

5

Draw a sketch of triangle ABC that has CosA=(20/29). Find the missing side length.

Missing side length should be 21

15