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Use Trigonometric Formulas To Rewrite Real Life Models

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?

 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?

 Over 2 miles (horizontal), a road rises 300 feet (vertical). What is the angle of elevation?

A 75 foot building casts an 82 foot shadow. What is the angle that the sun hits the building?

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A 25 foot tall flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole?

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.

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.

 Select the equation for given problem:

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?

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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?

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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?