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Trigonometry: Quiz 4
Trigonometry: Quiz 4
You may use a calculator for all of the questions in this quiz.
1) I stand 70 metres away from a building and look up at the top of the building. The angle of elevation when I look at the top of the building is 55°.
1) I stand 70 metres away from a building and look up at the top of the building. The angle of elevation when I look at the top of the building is 55°.
What is the height of the building? Give your answer to 3 significant figures.
2) A ladder that is leaning against a wall makes an angle of 68° with the ground. The ladder is 2.4 metre long.
a) How far is the ladder away from the wall? Give your answer to two decimal places.
b) How high up the wall does the ladder reach? Give you answer to two decimal places.
3) I am looking up at the top of a building. The building is 85 metres high and I am standing 30 metres away from the building. What is the angle of elevation (the angle of elevation is the angle between my line of sight and the floor)? Give your answer to the nearest integer.
4) I am flying a kite. The kite is 65 metres above the ground and the string of the kite is completely straight/ taut. The angle between the string of the kite and the horizontal is 53°. How long is the string? Use the diagram below to help you, and give your answer to 3 significant figures.
2) A ladder that is leaning against a wall makes an angle of 68° with the ground. The ladder is 2.4 metre long.
a) How far is the ladder away from the wall? Give your answer to two decimal places.
b) How high up the wall does the ladder reach? Give you answer to two decimal places.
3) I am looking up at the top of a building. The building is 85 metres high and I am standing 30 metres away from the building. What is the angle of elevation (the angle of elevation is the angle between my line of sight and the floor)? Give your answer to the nearest integer.
4) I am flying a kite. The kite is 65 metres above the ground and the string of the kite is completely straight/ taut. The angle between the string of the kite and the horizontal is 53°. How long is the string? Use the diagram below to help you, and give your answer to 3 significant figures.
5) I am looking up at the top of a building. The building is 110 metres tall and I am 50 metres away from the building. What is the angle of elevation (the angle between the floor at the line of sight)? Use the diagram below, and give your answer to the nearest integer.
6) The string of a kite is 57 metres long and it is 43 metres above the horizontal. What is the angle between the string of the kite and the horizontal? Give your answer to 2 significant figures. Use the sketch below to help you answer this question.
7) I am lying on the floor and am looking up at the top of a tree. I am lying 9 metres away from the tree and the tree is 15 metres high. At what angle to I look at the tree? Give your answer to 3 significant figures.
8) A 3.6 metre ladder is placed against a wall. The part of the ladder that is touching the floor is 120 cm away from the wall. What is the angle between the ladder and the floor? Give your answer to 2 significant figures.
9) The points A(1, -3), B(1, 2) and C(4, -3) are the vertices of a right-angled triangle ABC.
a) Either plot these coordinates properly on graph paper or make a sketch of the graph.
b) What is the size of angle ABC? Use trigonometry to obtain your answer and give your answer to the nearest integer.
c) What is the size of angle BCA? Use trigonometry to obtain your answer and give your answer to the nearest integer.
8) A 3.6 metre ladder is placed against a wall. The part of the ladder that is touching the floor is 120 cm away from the wall. What is the angle between the ladder and the floor? Give your answer to 2 significant figures.
9) The points A(1, -3), B(1, 2) and C(4, -3) are the vertices of a right-angled triangle ABC.
a) Either plot these coordinates properly on graph paper or make a sketch of the graph.
b) What is the size of angle ABC? Use trigonometry to obtain your answer and give your answer to the nearest integer.
c) What is the size of angle BCA? Use trigonometry to obtain your answer and give your answer to the nearest integer.