Real Application Trig Practice (constructing the picture 4)
Test review
Directions: Complete the following problems using SohCahToa. Be sure to draw the
picture that represents the situation and to show your work. You will have to on the
quiz tomorrow.
1) An observer on the 7th floor of a building determines that the angle of depression of the
foot of a taller building across the street is 74.4o and the angle of elevation of the top of
the same building is 73.6o. If the street is 500 ft wide, find the height of the observed
building.
2) A hot air balloon is flying at an altitude of 500 ft. A person on the ground looks up at
the balloon at an angle of elevation of 40o. What is the length of the line of sight?
3) A ladder 12.2 meters long can be placed so that it will reach a window 10.1 meters
above the ground on one side of the street. If a person tips it back without moving its
foot, it will reach a window 6.4 meters above the ground on the building across the street.
How wide is the street?
foot
Real Application Trig Practice (constructing the picture 4)
Test review
4) A police helicopter is chasing a carjacker. The helicopter is flying at an altitude of 500
ft with cop cars just underneath it. The angle of depression from the helicopter to the car
is 68o. Fifteen seconds later the helicopter hasn’t moved and the angle of depression is
32o. How many miles has the carjacker traveled? ( 1 mile = 5280 feet)
5) The Eifel tower in Paris casts a shadow 150 meters long when the angle of elevation of
the sun is 63o. Find the height of the tower.
6) The altitude of the base of the cloud formation to the ground is called the ceiling. To
find the ceiling one night, the famous meteorologist Wendy Sunsheinz directed a
spotlight vertically to the clouds. Using an instrument placed 100 meters from the
spotlight and 1.5 meters above the ground, Dr. Sunsheinz found the angle of elevation of
the light’s image on the clouds to be 70o. What ceiling did she find???
7) A woman is standing from a 70 foot tree and the angle of elevation is 62o. She moves
closer and the angle of elevation is now 84o. How far did she move?