Question

In XYZ, a right angled triangle, Z=90 degrees. Given that X=58 degrees, and XZ is 4.9m, find the length of XY

Answer 1

XY ≈ 9.2 m

Explanation:

using the cosine ratio in the right triangle

cos58° =
`(adjacent)/(hypotenuse)` =
`(XZ)/(XY)` =
`(4.9)/(XY)` ( multiply both sides by XY )

XY × cos58° = 4.9 ( divide both sides by cos58° )

XY =
`(4.9)/(cos58)` ≈ 9.2 m ( to the nearest tenth )