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Directions: Read each question carefully. Choose the letter that corresponds to the
correct answer.
1. A 37-ft pole casts a 21 ft. shadow. What is the angle of elevation of the sun?
A. 60°11'
B. 60°25'
C. 60°35'
D. 60°
2. If a kite makes an angle of 39.30' with the level ground when a 460 feet of
string is out. How high is the kite?
A. 292.6 ft
B. 292.59 Ft
C. 292 ft
D. 292.5 ft
3. A pilot on a plane saw a nearby island in front of him. If he is 2975 m above
the ground and the horizontal distance of the island to the pilot 2345 m away.
What is the angle of depression of the pilot to the island?
A. 51°45
B. 51°40'
C. 51°43'
D. 51°
4. A boy is seen standing on the highest part of a mango tree. On top of the tree,
he saw an observer looking at him 5 meters away. If the angle of depression
of the boy to the observer is 34°26', what is the height of the trec?
A. 3.44 m
B. 3.4 m
C. 3.42 m
D. 3.43 m
5. A man is seen on top of a coconut tree. 3 meters away from him is another
coconut tree. On the bottom of the other tree, there is a fallen coconut. If the
angle of depression of the man to the fallen coconut is 68°17', how high is the
coconut tree that he is located?
A. 7.55 m
B. 8 m
C. 7.53 m
D. 7.5 m




plsss give a right answer and I will brainliest you...tnx​

Directions Read Each Question Carefully Choose The Letter That Corresponds To Thecorrect Answer1 A 37ft Pole Casts A 21 Ft Shadow What Is The Angle Of Elevation class=

Sagot :

KallesEliasidn

1. A 37-ft pole casts a 21 ft. shadow. What is the angle of elevation of the sun?

A. 60°11'

B. 60°25'

C. 60°35'

D. 60°

Solution:

tanA = 37/21

A = arctan 1.7619047619047619047619047619048

A = 60.4221613187387

A = 60.42°

A = 60° 25' 19.78"

2. If a kite makes an angle of 39°30' with the level ground when a 460 feet of string is out. How high is the kite?

A. 292.6 ft

B. 292.59 ft

C. 292 ft

D. 292.5 ft

Solution:

sin39°30' = y/460

y = 460sin39°30'

y = 292.595981328 ft

y = 292.6 ft

3. A pilot on a plane saw a nearby island in front of him. If he is 2975 m above the ground and the horizontal distance of the island to the pilot 2345 m away. What is the angle of depression of the pilot to the island?

A. 51°45

B. 51°40'

C. 51°43'

D. 51°

Solution:

tanA = 2975/2345

A = arctan 1.2686567164179104477611940298507

A = 51.753574058883°

A = 51° 45' 12.87"

4. A boy is seen standing on the highest part of a mango tree. On top of the tree, he saw an observer looking at him 5 meters away. If the angle of depression of the boy to the observer is 34°26', what is the height of the tree?

A. 3.44 m

B. 3.4 m

C. 3.42 m

D. 3.43 m

Solution:

tan34°26' = h/5

h = 5tan34°26'

h = 5tan34.43333°

h = 3.4278453912 m

h = 3.43m

5. A man is seen on top of a coconut tree. 3 meters away from him is another coconut tree. On the bottom of the other tree, there is a fallen coconut. If the angle of depression of the man to the fallen coconut is 68°17', how high is the coconut tree that he is located?

A. 7.55 m

B. 8 m

C. 7.53 m

D. 7.5 m

Solution:

tan68°17' = h/3

h = 3tan68°17'

h = 3tan68.28333°

h = 7.5322872856

h = 7.53 m

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