Question

Find x 4.0 58 degrees

Answer 1

Answer:  4.7

Step-by-step explanation:

Use Soh Cah Toa

$sin \theta=\dfrac{opposite}{adjacent}\\\\\\sin(58^o)=\dfrac{4.0}{x}\\\\\\x=\dfrac{4.0}{sin(58^o)}\\\\\\x=4.7$

Answer 2

Answer:

The value of x = 4.7

Step-by-step explanation:

From the figure we can see aright triangle with height = 4.0 and one angle is 58°

Points to remember

Trigonometric ratios

Sin θ  = Opposite side/Hypotenuse

To find the value of x

Sin 58 = Opposite side/Hypotenuse

 = 4/x

x = 4/Sin (58)

 = 4/0.848

 = 4.71 ≈ 4.7

Therefore the value of x = 4.7