HSC Standard 2 Trigonometry 3

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The angle of depression from A to C is 40 ̊. The distance from B to C is 15 metres. How high above B is A, to the nearest metre?

1 point

10 m

11 m

13 m

18 m

Clear selection

A 10 m. beam leans against a wall. The beam reaches the wall 6.95 m. above the ground. What is the measure of the angle formed by the beam and the ground?

1 point

35°

44°

55°

46°

Clear selection

A koala is stranded on top of an 11 metre telegraph pole. From the top of the telegraph pole, the angle of depression of the rescue vehicle is 24°. How far from the base of the telegraph pole is the rescue vehicle, to the nearest metre?

1 point

4 m

9 m

25 m

27 m

Clear selection

An owl is 7 metres above ground level, in a tree. The owl sees a mouse on the ground at an angle of depression of 32°. How far must the owl fly in a straight line to catch the mouse, assuming the mouse does not move?

1 point

13.2 m

3.7 m

5.9 m

8.3 m

Clear selection

What is the size of the smallest angle (θ) in the triangle below?

1 point

Clear selection

A plane takes off from an airport, A, at 11 am and flies on a bearing of 140o at a speed of 800 km/h. How far due south of the airport A is the plane at 1:30 pm? Answer to the nearest kilometre.

1 point

514 km

613 km

1286 km

1532 km

Clear selection

What is the value of x in the triangle?

1 point

Clear selection

In triangle ABC, AB = 16 cm and BC = 12 cm. The triangle is right angled at C. Find the size of angle ABC, correct to the nearest degree. Find the size of angle ABC, correct to the nearest degree.

1 point