Question

The nearest hundredth of a centimeter what is the side of y

Given the length of X is 36.25 cm

Pls help

Answer 1

62.77 cm.

Explanation:

We have been given an image of a right triangle and we are asked to find the length of side y.

Since we know that tangent represents the relationship between the opposite and adjacent side of a right triangle.

We can see that x is opposite side and y is adjacent side to the 30 degree angle, so we will use tangent to find the length of side y.

`\text{Tangent}=\frac{\text{Opposite}}{\text{Adjacent}}`

`tan(30^o)=(x)/(y)`

Upon substituting x=36.25 we will get,

`tan(30^o)=(36.25)/(y)`

`0.57735026919=(36.25)/(y)`

`y=(36.25)/(0.57735026919)`

`y=62.7868417743311038`

Upon rounding our answer to nearest hundredth we will get,

`y\approx 62.77`

Therefore, the length of side y is 62.77 cm.