Download Worksheet 5.2

Maths Quest A Year 11 for Queensland
WorkSHEET 5.2
Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2
1
Right-angled triangles and trigonometry
Name: ___________________________
1
With respect to the labelled angle, state:
(a) hypotenuse
(b) adjacent side
(c) opposite side
2
3
Express the following angles in degrees,
minutes and seconds.
(a) 15.2

(b)
15 12
(c)
(d)
  tan 1 6.25
  sin 1 54

Calculate the following correct to two decimal
places.
1
(a)
tan 30 
(b)
(c)
(d)
23  cos 4  5
75
sin 45
35 
1
sin 67 5437

(a)
Maths Quest A Year 11 for Queensland
Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2
2
4
Determine the length of the unknown side in
the triangle above using:
(a) Pythagoras’ Theorem
(b) trigonometry
5
Find the values of unknown marked sides
correct to two decimal places.
4
6
Find the value of angle  correct to one decimal
place.
2
Maths Quest A Year 11 for Queensland
Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2
3
7
A 6 m-long ladder rests against a vertical wall
and forms an angle of 40° to the horizontal
ground. How high up the wall does the ladder
reach, correct to two decimal places?
2
8
A large heavy drum is pushed 3.5 m up an
inclined plane. If the inclined plane rises 2 m
vertically, find the angle the inclined plane
makes with the horizontal.
2
9
A 1.08 m-tall child flies a kite with 100 m of
released string which makes an angle of 70°
with the horizontal. How high is the kite
flying?
3
Maths Quest A Year 11 for Queensland
10
Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2
The angle of depression of a boat from a cliff
60 m high is 10°. How far is the boat from the
base of the cliff?
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2