Question

The diagram shows a right-angled triangle.
to
5 cm
11 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

Answer 1

65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°