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A 3 metre ladder rests against a vertical wall so that the distance between the base of the ladder and the bottom of the wall is 0.8 metre. Find the angle that the ladder makes with the wall.

Important Questions on Relationships in Space: Geometry and Trigonometry in 2D and 3D

EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 3
A 3 metre ladder rests against a vertical wall so that the distance between the base of the ladder and the bottom of the wall is 0.8 metre. Find the height (in meter) above the ground where the ladder meets the wall. (approximate your answer to two decimal places)
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 4
A man standing on a cliff looks down with an angle of depression of 40° to a boat in the water below the cliff. The cliff is 80 metre high and the man's eyes are 1.5 metre above the cliff. How far (in metre) is the boat from the cliff? (approximate to two decimal places)
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 5
Romeo stands 3 meter away from the wall of Juliet's house. Juliet is standing on the balcony. Romeo raises his eyes 70° to look into Juliet's eyes. Romeo and Juliet are both the same height. How high (in meter) is Juliet's balcony?
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Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 6

A boat travels on a bearing of N36°W for 25 km. How many miles north has the boat travelled?  (round off the answer to one decimal place)

EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 6
A boat travels on a bearing of N36°W for 25 cm. How many miles west has the boat travelled? (round off the answer to one decimal place)
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 7
A boat is due south of a lighthouse and sails on a bearing of 292° for 51km until it is due west of the lighthouse. How far (in km) away is it from the lighthouse now? ( round off the answer to one decimal place)
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 8
Wally looks out of his office window and sees the top and bottom of an apartment block 300meter away. The angle of elevation to the top of the office building is 23° and the angle of depression to the base of the building is 30°. How tall (in meter) is the apartment block?
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 11 - Relationships in Space: Geometry and Trigonometry in 2D and 3D>Exercise 11D>Q 9

Pierre is standing on the viewing deck of the Eiffel Tower, 300meter above the ground. He looks down with an angle of depression of 40°, to see Alain, at point A. He looks down a further 32° to see Bailee, at point B What is the distance from Alain to Bailee?  (Approximate the answer to its nearest integer)

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