Question

15. Find the value of x and y rounded to the nearest tenth.

X
34
45°
30°
y

Answer 1

x = 24.0

y = 46.4

Explanation:

Let opposite side = z

Using trigonometry :

Sin 30 = z / 34

z = 0.5 * 34

z = 17

We find x :

Sin 45 = 17 / x

x * sin45 = 17

x = 17 / sin 45

x = 24.04

Let y = y1 + y2

y1 = 17 / tan45

y1 = 17

y2 = 17/tan30

y2 = 29.44

y = 17 + 29.44

y = 46.44