Common Core HSG.SRT.C.8 worksheet
High school · 16 questions · Common Core: HSG.SRT.C.8, HSG.SRT.C.6 · England: GCSE Higher Geometry, GCSE Foundation Geometry
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Question 1
From the top of a 60 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 2
In a right triangle, the side adjacent to a 26° angle is 19 cm. Find the hypotenuse to 1 decimal place.
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Question 3
The bearing of B from A is 209°. What is the bearing of A from B?
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Question 4
In a right triangle you know angle θ and the adjacent side. You want the opposite side. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 5
Mei stands 23 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 Mei's height.)
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Question 6
A cuboid measures 9 cm × 6 cm × 2 cm. Find the length of its space diagonal, to 1 decimal place.
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Question 7
A right triangle has hypotenuse 12 cm and an angle of 35°. Find the side adjacent to the 35° angle, to 1 decimal place.
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Question 8
A right triangle has opposite side 3 cm and adjacent side 14 cm to angle θ. Find θ to 1 decimal place.
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Question 9
Two drones leave a base. One flies 29 km on a bearing of 058°, the other 21 km on a bearing of 102°. How far apart are they? Give 1 decimal place.
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Question 10
A boat sails 19 km on a bearing of 076°. How far north of its start is it? Give 1 decimal place.
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Question 11
Yuki flies a drone 25 m above the ground. From where Yuki stands, the angle of elevation to the drone is 64°. How far horizontally is the drone from Yuki? Give 1 decimal place.
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Question 12
An equilateral triangle has sides of 4 cm. Find its exact height.
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Question 13
A 17 m ladder leans against a wall at 57° to the ground. To find how high up the wall it reaches, which ratio do you use with the 57° angle?
- A. sin
- B. cos
- C. tan
Question 14
A right triangle has the side adjacent to a 60° angle equal to 8 cm. Find the side opposite the 60° angle. Give an exact answer.
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Question 15
In a right triangle the hypotenuse is 14 m and the side opposite angle θ is 6 m. Find θ to 1 decimal place.
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Question 16
A ramp rises at 50° over a horizontal distance of 12 m. How high does it rise? Give 1 decimal place.
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