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Standing 100 feet from the base of a building, Sam measures the angle to the top of the building from his eye height to be 500. If his eyes are 6 feet above the ground, how tall is the building?
125 ft
44 ft
16 ft
A boat is sailing and spots a shipwreck 650 feet below the water. A diver jumps from the boat and swims 935 feet to reach the wreck. What is the angle of depression from the boat to the shipwreck?
27.60
440
1.60
Over 2 miles (horizontal), a road rises 300 feet (vertical). What is the angle of elevation?
57.60
A 75 foot building casts an 82 foot shadow. What is the angle that the sun hits the building?
47.60
Select the equation for given problem:
A 25 foot tall flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole?
tantanx =42/25
sinsin 87.5 = h/25
tantan 87.5 = h/15
A football player can kick a football from ground level with an initial velocity of 80 feet per second. Write the projectile motion model using a double-angle formula.
r = 1/3 v02 (sin θ cos θ)
r = 1/32 v02 (sin θ cos θ)
r = 1/32 v02 (sin 2 θ)
A 20 foot ladder rests against a wall. The base of the ladder is 7 feet from the wall. What angle does the ladder make with the ground?
tan tan x = 42/25
sin sin 43 = x/300
cos cos x= 7/20
Mark is flying a kite and realizes that 300 feet of string are out. The angle of the string with the ground is 43 . How high is Mark's kite above the ground?
A math student is standing 25 feet from the base of the Washington Monument. The angle of elevation from her horizontal line of sight is 87.5 . If her “eye height” is 5 ft, how tall is the monument?
Tan tan 87.5 = h/25
sin sin 87.5 = h/25
Tan tan 87.5 = h/15
It is done.