Question

Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2

Answer 1

B

Explanation:

using the tangent ratio on the triangle on the right and the exact value

tan60° =
`√(3)` , then letting the altitude be h

tan60° =
`(opposite)/(adjacent)` =
`(11√(6) )/(h)` =
`√(3)` ( multiply both sides by h )

11
`√(6)` = h ×
`√(3)` ( divide both sides by
`√(3)` )

11
`√(2)` = h

using the sine ratio in the triangle on the left and the exact value

sin45° =
`(√(2) )/(2)` , then

sin45° =
`(opposite)/(hypotenuse)` =
`(h)/(x)` =
`(11√(2) )/(x)` =
`(√(2) )/(2)` ( cross- multiply )

`√(2)` × x = 22
`√(2)` ( divide both sides by
`√(2)` )

x = 22