Question

Answer question in image attached :) 20 points

Answer 1

Answer:

AC = 3(tan 50°)

Step-by-step explanation:

Trig ratios:

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

where $\theta$ is the angle, O is the side opposite the angle, A is the side adjacent to the angle and H is the hypotenuse of a right triangle

Given:

• Angle = 50°
• A = 3 in
• O = AC

Therefore, use the tan ratio:

$\implies tan(50)=\dfrac{AC}{3}\\\\\implies AC=3tan(50)$

Answer 2

Answer:

3(tan 50°)

Step-by-step explanation:

AC is the height

=> tan50 = AC/3

=>  AC = 3(tan 50°)