Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet (Page 24 of 30) in pdf

Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 24

1. A kite is flying at an angle of 63° with the ground. If all 250 feet of string are out, and there is no sag in the

string, how high is the kite?

2. 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?

3. A tree casts a shadow of 28 m. The elevation of the sun is 49°. How tall is the tree?

4. Joey is putting up an antenna. At the 30 foot mark, he attaches a 50 foot guy wire. What angle does the guy

wire form with the antenna?

5. A freeway entrance ramp has an elevation of 15°. If the vertical lift is 22 feet, what is the distance up the

ramp?

6. A person at the top of a cliff 100 feet tall sees Gilligan’s boat. His sighting of the boat is at an angle of

depression of 10°. How far is the boat from the base of the cliff?

7. A 24 foot ladder is placed against a wall at 55° with the ground. How far away from the wall is the base of

the ladder?

8. A 32 in. bat is leaning against a fence. If the bat is 15 in. away from the base of the fence, what angle is

formed between the ground and the bat?

9. Ana knows that she is one mile from the base of a tower. Using a protractor she estimates an angle of

elevation to be 3°. How tall is the tower to the nearest foot? (1 mile = 5280 feet)

10. A plane takes off at an elevation of 20°. In its path is the tower of 170 feet. If the plane at takeoff is 500 feet

away from the tower. What is the altitude of plane? Will it clear the height of the tower? If yes, by how

much?

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Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 24