Answer the following with short explanation 1. From the top of a vertical cliff 40 m high, the angle of depression of an object thatis level with the base of the cliff is 30°. How far is the object from the base of thecliff in meters?A. 46. 19 mC. 80 mD. 93.13 mB. 69.28 m2. A building 62 feet tall casts a shadow 21 feet long. At what angle is the sunshining on the building?A. 19.80°C. 70.20°D. 71.29°B. 18.71°3. From a point 340 meters from the base of the La Mesa Dam, the angle of elevationto the top of the dam is 33°. What is the height of the dam?A. 85.18 mC. 220.80 mB. 523.55 mD. 624.27 m4. A ramp is needed to allow vehicles to climb a 2-foot wall. The angle of elevationfor the vehicles to safely go up must be 30° or less, and the longest ramp availableis 5 feet long. Can this ramp be used safely?A. Yes, the ramp can be used safely.B. No, the ramp cannot be used safely.C. Cannot be determinedD. Not enough information was given.5. From a height of 38 m above sea level, two ships are sighted due west. The anglesof depression are 53° and 28°. How far apart are the ships?A. 21.04 mC. 42. 83 mB. 28.64 mD. 71.46 m6. The angle of elevation at the top of the building is 50°. If the observer is 90 mfrom the base of the building, how high is the building?A. 107.26 mC. 68.94 mB. 100.32 mD. 57.85 m

Since you have posted multiple question in this question which are not interlinked so i have solved…

1. 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 30°. How far is the object from the base of the cliff in meters? A. 46. 19 m C. 80 m B. 69.28 m D. 93.13 m

1. 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 30°. How far is the object from the base of the cliff in meters? A. 46. 19 m C. 80 m B. 69.28 m D. 93.13 m

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.2: More Angle Measures In The Circle

Problem 28E: From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A...

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Question

Answer the following with short explanation

1. 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 30°. How far is the object from the base of the
cliff in meters?
A. 46. 19 m
C. 80 m
D. 93.13 m
B. 69.28 m
2. A building 62 feet tall casts a shadow 21 feet long. At what angle is the sun
shining on the building?
A. 19.80°
C. 70.20°
D. 71.29°
B. 18.71°
3. From a point 340 meters from the base of the La Mesa Dam, the angle of elevation
to the top of the dam is 33°. What is the height of the dam?
A. 85.18 m
C. 220.80 m
B. 523.55 m
D. 624.27 m
4. A ramp is needed to allow vehicles to climb a 2-foot wall. The angle of elevation
for the vehicles to safely go up must be 30° or less, and the longest ramp available
is 5 feet long. Can this ramp be used safely?
A. Yes, the ramp can be used safely.
B. No, the ramp cannot be used safely.
C. Cannot be determined
D. Not enough information was given.
5. From a height of 38 m above sea level, two ships are sighted due west. The angles
of depression are 53° and 28°. How far apart are the ships?
A. 21.04 m
C. 42. 83 m
B. 28.64 m
D. 71.46 m
6. The angle of elevation at the top of the building is 50°. If the observer is 90 m
from the base of the building, how high is the building?
A. 107.26 m
C. 68.94 m
B. 100.32 m
D. 57.85 m

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