Question

what is the value of tan x? oa ⅗ ob ⅘ oc ¾ od ⅘ oe ⅔

Explanation:

Step1: Find the adjacent side

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$. Here $c = 10$ and one side $b = 6$. Let the adjacent side to angle $x$ be $a$. Then $a=\sqrt{10^{2}-6^{2}}=\sqrt{100 - 36}=\sqrt{64}=8$.

Step2: Recall tangent formula

The formula for tangent is $\tan x=\frac{\text{opposite}}{\text{adjacent}}$. The opposite side to angle $x$ is 6 and the adjacent side is 8.

Step3: Calculate tangent value

$\tan x=\frac{6}{8}=\frac{3}{4}$.

Answer:

B. $\frac{3}{4}$