(b) Calculate the area of this piece of land.
7.
Solve for x in 2 Cos2x
0
= 0.6000 0
0
≤ x ≤ 360
0
.
8.
Wangechi whose eye level is 182cm tall observed the angle of elevation to the top of
her house to be 32
º
from her
eye
level
at point A. she
walks 20m towards the house
on a straight line to a point B at
which
point
she observes the angle
of elevation to the
top of the building to the 40
º.
Calculate, correct to 2 decimal places the ;
a)distance of A
from
the
house
b) The height of the house
9.
Given that cos A =
5
/
13
and angle A is acute, find the value of:-
2 tan A + 3 sin A
10.
Given that tan 5° = 3 +
5,
without using tables or a calculator, determine tan 25°, leaving
your answer in the form
a + b
c
11.
A student whose eye level is 182cm from the ground observed the top of their house at
an angle of
elevation of 32
o
at point
A
. She walked for 20m towards the house along a
straight road to a point
B
, where she observed the top of the building again at an angle of
elevation of 40
o
.
Calculate correct to 2 decimal places the:-
(a) Distance of
A
from the house
(b) The height of the house
12.
Given that tan
x
= 5, find the value of the following without using mathematical tables or
calculator:
12
(a) Cos x
(b) Sin
2
(90-x)
13.
If tan θ =
8
/
15
, find the value of
Sinθ
-
Cosθ
without using a calculator or table
Cosθ + Sinθ
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- Fall '19
- Trigonometry, Walking
