Transcript Right-Angled trigonometry

Right-Angled trigonometry
Finding an angle
Example
Calculate the size of angle A in the triangle ABC
C
14 m
7m
B
A
Example
Calculate the size of angle P in the triangle PQR
P
24 m
19m
R
Q
Example
Calculate the size of angle A in the triangle ABC
B
4 cm
A
6 cm
C
Example
Find the size of angle x in each of the following
(i)
1.2 cm
x
4.7 cm
(ii)
x
10 cm
3.7 cm
(iii)
7 cm
x
12 cm
Example
Calculate the size of angle PQR in the triangle
below.
P
8 cm
P
8 cm
6 cm
R
Example
The road from village A runs due West for 5 miles to a fort B.
A television mast is due South of B and 4 miles from B. Find
the distance and bearing of the mast from A.