What multiplies to be 60 and adds up to be 16

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Ответ:

orlando19882000

17.11.2022

Mathematics

62.77 cm.

Step-by-step 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.

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

$tan(30^o)=\frac{x}{y}$

Upon substituting x=36.25 we will get,

$tan(30^o)=\frac{36.25}{y}$

$0.57735026919=\frac{36.25}{y}$

$y=\frac{36.25}{0.57735026919}$

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.

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