Question

find tan a for the triangle below.
8
a
6
10
a. 0.8
b. 0.6
c. 1.33
d. 0.75

Explanation:

Step1: Recall tangent formula

The formula for $\tan$ of an angle in a right - triangle is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $A$, the side opposite to angle $A$ has length 6 and the side adjacent to angle $A$ has length 8.

Step2: Calculate $\tan A$

$\tan A=\frac{6}{8}=\frac{3}{4} = 0.75$

Answer:

d. 0.75