Question

Which trigonometric ratio would you use to solve for z when using the 28 degree angle?

Answer 1

Sine because it uses opposite over hypotenuse

Answer 2

Answer:

Sine

Step-by-step explanation:

We are given that a triangle XMI in which

$MI=20 units$

$XI=z$

$\angle MXI=28^{\circ}$

We have to find which trigonometric ratio would use to solve for z.

We know that

$Sin\theta=\frac{Perpendicular\;side}{hypotenuse}$

$cosin\theta=\frac{base}{Hypotenuse}$

$tan\theta=\frac{Perpendicular\;side}{base}$

We have , Perpendicular side =MI=20 units

Hypotenuse,XI=z

Base=XM

$sin28^{\circ}=\frac{20}{z}$

$z=\frac{20}{sin28^{\circ}}$

Hence, we would use sine  to solve for z.