Question

In AXYZ, ZZ = 90°. Given that ZX = 58° and XZ = 4.9 m, find the length of XY

Answer 1

Okay, I figured it out. XY=9.246691583 or 9.247 if you're rounding.

Explanation:

In the right triangle of XYZ, Given that angle Z=90 degrees, angle X=58 degrees and XZ=4.9m.

Since it's a right triangle you can use SOHCAHTOA:

cosθ=adjacent/hypotenuse

cosθ=4.9/h

You can then manipulate the formula to this

h=4.9/cos(degree) = h=4.9/cos(58)

=9.246691583

hope this helps