Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized

Step-by-step explanation:

Given

The triangle above

Required

Find the missing lengths

The missing lengths can be calculated by applying trigonometry ratios

From the triangle above,

the Hypotenuse is 10

Angle = 60

Calculating m

The relationship between m, the Hypotenuse and angle 60 is defined as follows;

Where

The above formula becomes

Multiply both sides by 10

In radical from,

becomes

Calculating n

The relationship between n, the Hypotenuse and angle 60 is defined as follows;

Where

The above formula becomes

Multiply both sides by 10

In radical from,

becomes

answer: options

step-by-step explanation: