Question

6. Find the values of x and y. 30° 17

Answer 1

X = 17√3

Y = 34

Explanation:

TO calculate the values of X and y we use SOHCAHTOA.

Calculating for X

tan 30 = opposite/adjacent

tan30 = 17/X

Cross multiply

tan30 ×X = 17

Divide bothsides by tan30

Note: tan30= 1/√3

X = 17/1/√3

X=17√3

X= 29.4

X = 29 ( approximately)

Calculating for y

`sin30 = (Opposite)/(Hypothenus) \\ \\ sin30 = (17)/(y)`

Cross multiply

`sin30 * y = 17`

Divide bothsides by sin30

`(sin30 * y)/(sin30) = (17)/(sin30) \\ \\ y = (17)/(0.5) = 34 \\ y = 34`