Angles of elevation and depression
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.8 · England: GCSE Foundation Geometry, GCSE Higher Geometry
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Question 1
Nia stands 43 m from the base of a tower. The angle of elevation to the top is 70°. How tall is the tower, to the nearest metre? (Ignore Nia's height.)
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Question 2
From the top of a 73 m cliff, the angle of depression to a boat is 35°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 3
Hiro stands 73 m from the base of a tower. The angle of elevation to the top is 62°. How tall is the tower, to the nearest metre? (Ignore Hiro's height.)
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Question 4
From the top of a 99 m cliff, the angle of depression to a boat is 46°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 5
Sofia stands 46 m from the base of a tower. The angle of elevation to the top is 40°. How tall is the tower, to the nearest metre? (Ignore Sofia's height.)
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Question 6
From the top of a 43 m cliff, the angle of depression to a boat is 17°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 7
Omar stands 40 m from the base of a tower. The angle of elevation to the top is 53°. How tall is the tower, to the nearest metre? (Ignore Omar's height.)
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Question 8
From the top of a 30 m cliff, the angle of depression to a boat is 13°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 9
Liam stands 12 m from the base of a tower. The angle of elevation to the top is 39°. How tall is the tower, to the nearest metre? (Ignore Liam's height.)
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Question 10
From the top of a 95 m cliff, the angle of depression to a boat is 19°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 11
Ava stands 63 m from the base of a tower. The angle of elevation to the top is 61°. How tall is the tower, to the nearest metre? (Ignore Ava's height.)
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Question 12
From the top of a 116 m cliff, the angle of depression to a boat is 32°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 13
Ben stands 64 m from the base of a tower. The angle of elevation to the top is 20°. How tall is the tower, to the nearest metre? (Ignore Ben's height.)
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Question 14
From the top of a 61 m cliff, the angle of depression to a boat is 55°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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Question 15
Aisha stands 68 m from the base of a tower. The angle of elevation to the top is 57°. How tall is the tower, to the nearest metre? (Ignore Aisha's height.)
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Question 16
From the top of a 116 m cliff, the angle of depression to a boat is 30°. How far is the boat from the foot of the cliff? Round to the nearest metre.
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