Question

This is geometry and I need help

Answer 1

Explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2 Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13 Combine

c^2 = 16 Take the Square Root of Both Sides

√c^2 = √16

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43