A tree casts a shadow of 28 m the elevationof the sun is

Question

Part 1-

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 elevationof 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 take off 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?

Part 2-

1. What is the angle of elevation if you stand 850 feet away from a cliff that is 400 feet high and look at the top?

2. The string of a flying kite makes 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?

3. Tal's hill at Minute Maid Park has an elevation of 30°. If the hill has a six foot vertical rise, how long is its hypotenuse?

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 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?

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

7. 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?

8. A plane takes off at an elevation of 20°. In its path, 500 feet away from the takeoff point, is a 170-ft tall tower. Will the plan clear the tower? If yes, by how much?

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. The base of an isosceles triangle has a length of 16cm. and the vertex angle measures 68°. What is the length of each leg? Round to the nearest ten^th of a cm.

Part 3-

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

2. Shane is 61 feet high on a ride at an amusement park. The angle of depression to the park entrance is 42°, arm the angle of depression to his friends standing below is 80°. How far from the entrance are his friends standing?

3. A 30 foot tree broke from its base and fell against a house. If the tree hit the house 18 feet above the ground, what angle is the tree forming with the house?

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

5. 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?

6. Rosalinda has a rocket that can travel 1500 feet before exploding. On the 4^th of July, she lights the rocket at an elevation of 75°. How high will the rocket be when it explodes?

7. Mark has two sticks, 25 in. 'and 20 in. If he places them end to end perpendicularly, what two acute angles would be formed when he added the hypotenuse?

8. Matt hiked to the top of the smaller cliff shown below. From the top, he could see the bottom of the large cliff at an angle of depression of 25°. He could see the top of the large cliff at an angle of elevation of 20°. Find the height of each cliff (x and y).