Question

In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?

Answer 1

Answer:

$tan\ X= \frac{4}{3}$

Step-by-step explanation:

Given

$Z=90\°$

$ZY = 4$

$XZ = 3$

$YX = 5$

Required

Determine tan x

This question can be illustrated using the attached image

Tan of an angle is calculated as:

$tan \theta = \frac{Opposite}{Adjacent}$

In this case, it is:

$tan\ X= \frac{ZY}{XZ}$

Substitute values for ZY and XZ

$tan\ X= \frac{4}{3}$

Hence, the required ratio is 4/3

Answer 2

Answer:

4/3

Step-by-step explanation: