Angles of elevation and depression

Question 1

Chloe stands 54 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 Chloe's height.)

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Question 2

From the top of a 39 m cliff, the angle of depression to a boat is 26°. How far is the boat from the foot of the cliff? Round to the nearest metre.

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Question 3

Ines stands 43 m from the base of a tower. The angle of elevation to the top is 50°. How tall is the tower, to the nearest metre? (Ignore Ines's height.)

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Question 4

From the top of a 63 m cliff, the angle of depression to a boat is 56°. How far is the boat from the foot of the cliff? Round to the nearest metre.

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Question 5

Kwame stands 38 m from the base of a tower. The angle of elevation to the top is 59°. How tall is the tower, to the nearest metre? (Ignore Kwame's height.)

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Question 6

From the top of a 37 m cliff, the angle of depression to a boat is 60°. How far is the boat from the foot of the cliff? Round to the nearest metre.

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Question 7

Arjun stands 43 m from the base of a tower. The angle of elevation to the top is 47°. How tall is the tower, to the nearest metre? (Ignore Arjun's height.)

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Question 8

From the top of a 100 m cliff, the angle of depression to a boat is 29°. How far is the boat from the foot of the cliff? Round to the nearest metre.

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Question 9

Leo stands 16 m from the base of a tower. The angle of elevation to the top is 43°. How tall is the tower, to the nearest metre? (Ignore Leo's height.)

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Question 10

From the top of a 58 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 11

Ava stands 43 m from the base of a tower. The angle of elevation to the top is 69°. How tall is the tower, to the nearest metre? (Ignore Ava's height.)

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Question 12

From the top of a 55 m cliff, the angle of depression to a boat is 11°. How far is the boat from the foot of the cliff? Round to the nearest metre.

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Question 13

Ines stands 40 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 Ines's height.)

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Question 14

From the top of a 109 m cliff, the angle of depression to a boat is 25°. How far is the boat from the foot of the cliff? Round to the nearest metre.

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Question 15

Yuki stands 28 m from the base of a tower. The angle of elevation to the top is 46°. How tall is the tower, to the nearest metre? (Ignore Yuki's height.)

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Question 16

From the top of a 117 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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