Trigonometry And Unit Circle Worksheet Template Page 7
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8Part 3 – Applications
Angle of depression - ______________________________________________________________________
Angle if elevation - ________________________________________________________________________
Ex 1. Angie looks up at 25 degrees to see an airplane flying toward her. If the plane is flying at an altitude of 3.5 miles,
how far is it from being directly above Angie?
Picture:
Equation/Solution:
Answer:
β,
Ex 2. A six foot vertical pole casts a shadow of 11 feet. What is the angle,
of elevation with the ground?
Picture:
Equation/Solution:
Answer:
Ex 3. A 30 foot tree broke from its base and fell against a house. If the tree touches the house at 21 feet, what angle is
the tree forming with the house?
Picture:
Equation/Solution:
Answer:
Ex 3. Lauren is at the top of a 15 m lookout tower. From an angle of depression of 25°, she sees Evan coming toward her.
How far is Evan from the base of the tower?
Picture:
Equation/Solution:
Answer:
Ex 4. Christian is shooting a toy rocket off at an angle of 50◦ with the ground. He is 45 ft from his house and his house is
36 ft high. Will the rocket clear the house?
Picture:
Equation/Solution:
Answer:
Ex 5. At a point 75 ft from the base of a cliff, the angle of elevation to the first ridge is 30° and to the top of the cliff the
angle of elevation is 60°. How much higher is the top of the cliff as compared to the first ridge?
Picture:
Equation/Solution:
Answer:
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