Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

note: figure not drawn to scale. in the right triangle shown, the value…

Question

note: figure not drawn to scale.
in the right triangle shown, the value of \\( \tan x ^ { \circ } \\) is \\( \frac { 4 } { 39 } \\). what is the value of \\( e? \\)
a 79
b 40
c 39
d 1

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For angle \(x\), the side opposite to \(x\) is \(40\) and the side adjacent to \(x\) is \(39\). So, \(\tan x=\frac{40}{39}\).

Answer:

B. 40