Question

What is the measure of angle C rounded to the nearest whole number?

Answer 1

Answer:

D) angel C = 28 degree.

Step-by-step explanation:

Given : Right triangle with hypotenuse 17 and opposite side 8.

To find : what is the measure of angle C rounded to the nearest whole number?

Solution : we have given that hypotenuse = 17.

                                                  opposite side = 8.

By the Pythagorean theorem : $hypotenuse^{2} = opposite^{2} +adjacent^{2}$.

$(17)^{2} = (8)^{2} +adjacent^{2}$.

289 = 64 + $adjacent^{2}$.

289 -64 =  $adjacent^{2}$.

225 =  $adjacent^{2}$.

Taking square root

15 = adjacent side.

Cos c = $\frac{adj}{Hyp}$.

Cos c = $\frac{15}{17}$.

Taking inverse

C = $cos^{-1}(\frac{15}{17})$.

C = 28.07.

Nearest whole number = 28.

Therefore, D) angel C = 28 degree.

Answer 2

The measure of angle C is 45°.

First, you must know that a triangles angles add up to 180°.

Then, do 180° - 90° = 90° because there is a right angle and right angles are equal to 90°.

Next, you need to split the 90° into 2 because there are 2 remaining angles. 90/2 = 45

Therefore C = 45°