Answer:
m = 7.32
n = 16.69
O = 64
Step-by-step explanation:
In right angled triangle MNO,
Taking angle M = 26 as a reference angle, we get
Base = 15cm
perpendicular = m
hypotenuse = n
At first, for hypotenuse
cos 26 = base / hypotenuse
cos 26 = 15 / n
n = 15 / cos 26
n = 16.69
Again, for perpendicular
tan 26 = perpendicular / base
tan26 = m/15
m = tan26 x 15
m = 7.32
Now for angle O, we take angle O as the reference angle
So we get,
Hypotenuse = 16.69
Perpendicular = 15
Base = 7.32
Now,
Sin O = perpendicular / hypotenuse
Sin O = 15 / 16.69
O = Sin ^ -1 (15 / 16.69)
O = 64
