Question

What is the value of tan x? 3/5 5/4 3/4 4/3 4/5

Answer 1

Answer:

$\sf \tan(x)=\dfrac{4}{3}$

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

• $\theta$ is the angle
• O is the side opposite the angle
• A is the side adjacent the angle
• H is the hypotenuse (side opposite the right angle)

From inspection of the diagram:

• $\theta$ = x
• O = 8
• A = 6
• H = 10

$\implies \sf \tan(x)=\dfrac{8}{6}=\dfrac{4}{3}$

Answer 2

$\\ \rm\Rrightarrow tanx=\dfrac{Perpendicular}{Base}$

• Perpendicular=8
• Base=6

$\\ \rm\Rrightarrow tanx=\dfrac{8}{6}$

$\\ \rm\Rrightarrow tanx=\dfrac{4}{3}$