Question

Q3. Find x and y
12
X
30
60
y

Answer 1

x = 4
`√(3)`, y = 8
`√(3)`

Explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° =
`(√(3) )/(3)` , then

tan30° =
`(opposite)/(adjacent)` =
`(x)/(12)` =
`(√(3) )/(3)` ( cross- multiply )

3x = 12
`√(3)` ( divide both sides by 3 )

x = 4
`√(3)`

------------------------------------------------------------

Using Pythagoras' identity in the right triangle

y² = x² + 12² = (4
`√(3)` )² + 144 = 48 + 144 = 192 ( take square root of both sides )

y =
`√(192)` =
`√(64(3))` = 8
`√(3)`

Answer 2

THX FOR POINTS

Explanation: