Question

What is the length of the hypotenuse? Answer : 17

Using the triangle above, find the measure of each trigonometric ratio of angle A. Write your
answer as a decimal rounded to the nearest hundredth.
sin A =
cos A =
tan A =
NEED HELP ROUNDING MY ANSWER PLEASE HELP!!!

Answer 1

Below.

Explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

• (Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

• H² = 8² + (15)²
• H² = 64 + 225
• H² = 289
• H = √(17*17)
• H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

• Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

• cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

• tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.