Question

please help me! What is the approximate value of y? Round to the nearest tenth. A.) 3.1 B.) 3.9 C.) 4.6 D.) 5.4

Answer 1

Option (C). 4.6 cm

Explanation:

In the figure attached,

A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°

By applying Sine rule in this triangle,

Sin(50)° =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{Leg 1}}{\text{Hypotenuse}}`

Sin(50)° =
`(x)/(6)`

x = 6(Sin50°)

x = 4.59

x ≈ 4.6 cm

Therefore, Option (C) will be the answer.