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General Mathematics Β· Unit 2 Β· Applications of trigonometry Β· Applications of trigonometry

Understand and use the trigonometric ratios to find the size of an unknown angle, πœƒ, or the length of an unknown side in a right-angled triangle. ο‚§ cos πœƒ = adjacent hypotenuse ο‚§ sin πœƒ = opposite hypotenuse ο‚§ tan πœƒ = opposite adjacent

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Question 1

A surveyor measures the height of a building from a ground position along a straight line from the building's base. The table below shows the horizontal distance from the building and the angle of elevation to the top of the building. Determine the height of the building, correct to one decimal place.

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Question 2

A surveyor measures the angle of elevation to the top of a building as $37Β°$ from a point $28$ m away from the base. Which trigonometric ratio should be used to find the height of the building?

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More in Applications of trigonometry

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Solve two-dimensional problems involving a non-right-angled triangle, △𝐴𝐡𝐢, with sides, π‘Ž, 𝑏 and 𝑐, and corresponding angles, 𝐴, 𝐡 and 𝐢. ο‚§ sine rule: π‘Ž sin 𝐴 = 𝑏 sin𝐡 = 𝑐 sin 𝐢 (ambiguous case excluded) ο‚§ cosine rule: 𝑐2 = π‘Ž2 + 𝑏2 βˆ’ 2π‘Žπ‘ cos 𝐢
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