Answer:
x = 11, y = 22
Explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by x )
11
= x ×
( divide both sides by
)
11 = x
Using Pythagoras' identity in the right triangle
y² = x² + (11
)² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )
y =
= 22