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SOH CAH TOA
Right-angled trigonometry
Name: ___________________________
1
Find the unknown angles. Round your answer
to the nearest degree.
(a) tan   9.5144,  
(b)
sin   0.9945,  
(c)
cos   0.8862,  
2
Evaluate each of the following, correct to the
nearest degree.
(a) sin 1 0.3907
(b) tan 1 1.4181
(c) cos 1 0.4812
3
Find the value of  correct to the nearest
degree.
4
Find the value of  correct to the nearest
degreee.
SOH CAH TOA
SOH CAH TOA
5
Find the value of  correct to the nearest
degree.
6
From the top of a tower 45.3 m high, Terry
could see his campsite at an angle of depression
of 33. How far is the campsite from the tower?
7
At what angle of elevation must a 5.2 m ladder
be placed to reach a vertical height of 3.8 m on
a wall? Give your answer correct to the nearest
degree.
8
A boat is anchored by 38 m of cable that is
inclined at 51 to vertical. What is the depth of
the water (to the nearest metre)?
9
Brendan was in a boat observing a lighthouse
on a vertical cliff at an angle of elevation of
54. The cliff was 94 m high. Calculate the
horizontal distance from Brendan to the base of
the cliff.
10
Two buildings are 80 m and 115 m high. Bill,
standing on the taller building, could see Ben
on the smaller building at an angle of
depression of 19. How far apart are the
buildings?
SOH CAH TOA