Question

which of the following describes how to calculate the value of x?

Answer 1

Answer:

Option 1

Step-by-step explanation:

Given in the picture is a right triangle

One leg is x and hypotenuse is 8

The angle opposite leg x is given as 20 degrees

Recall the formula for trignometric ratio

$sin t =\frac{opposite side}{hypotenuse}$

Here opposite side of 20 is x and hypotenuse =8

Hence $sin 20 =\frac{x}{8} \\8 sin20=x$

So option I is right.

Answer 2

Answer:

First option sin20 times eight

Step-by-step explanation:

This is a right triangle, and we have the hypotenuse 8 (the side opposite to the angle of 90°), and angle of 20°, and we want to calculate the opposite leg (x) to the angle of 90°. The trigonometric function that relates the opposite leg to an angle and the hypotenuse is sine:

$sin 20^{\°}=\frac{Opposite leg}{Hypotenuse}$

Replacing the values:

$sin 20^{\°}=\frac{x}{8}$

Solving for x: Multiplying both sides of the equation by 8:

$sin20^{\°}.8=\frac{x}{8}.8\\ sin20^{\°}.8=x\\x=sin20^{\°}.8$

Answer: We can calculate x with sin20 times eight