Find the measure of the indicated angle to the nearest degree. (trigonometry) plz

The measure of nearest degree is .

degree

The measure of nearest degree is .

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23°

Step-by-step explanation:

This is a right triangle, so we can trigonometric ratios to solve for the angle. Since 3 sides are given, we can use either sine, cosine, or tangent to solve.

Let's just take sine to solve this. We know:

Where x is the angle and opposite side is the side opposite and hypotenuse is the side opposite the 90 degree angle.

So let the indicated angle be x, so the opposite side is 30 and hypotenuse is 78. Putting in the formula we get:

To the nearest degree, this is 23°

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.