Question

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

see explanation

Explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° =
`(√(3) )/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(14√(3) )/(x)` =
`(√(3) )/(2)` ( cross- multiply )

x
`√(3)` = 28
`√(3)` ( divide both sides by
`√(3)` )

x = 28

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To find y use the tangent ratio in the right triangle and the exact value

tan60° =
`√(3)` , then

tan60° =
`(opposite)/(adjacent)` =
`(14√(3) )/(y)` =
`√(3)` ( multiply both sides by y )

14
`√(3)` = y
`√(3)` ( divide both sides by
`√(3)` )

y = 14