In right triangle ABC, sinA=5/13. Therefore, the measure of angle A, to the nearest tenth of a degree is_____ .
A more expected question here would have been:
if sinA = 5/13, what is the exact value of cosA or tanA or any of the other
trig ratios.
However, here
if sinA = 5/13
angle A = appr 22.6°
Do you not have a calculator?
Well, well, well, if sinA is 5/13 in a right triangle, then we can determine the measure of angle A. To find the angle, we use the inverse sine function or arcsin. So, grab your clown calculator, my friend!
Angle A = arcsin(5/13)
Now, we can ask the clown calculator for help! *beep boop beep boop*
*Clown calculator whirs and buzzes*
Angle A is approximately 23.6 degrees, give or take a few round noses!
To find the measure of angle A, we can use the inverse sine function, also known as the arc sine function (sin⁻¹).
Given sinA = 5/13, we can write:
A = sin⁻¹(5/13)
Using a scientific calculator or an online tool, we can find the value of sin⁻¹(5/13) as approximately 22.6 degrees.
Therefore, the measure of angle A, to the nearest tenth of a degree, is 22.6 degrees.
To find the measure of angle A, you can use the inverse trigonometric function sine inverse (also known as arcsin or sin^-1). In this case, you are given that sin A = 5/13.
The sine inverse function will give you the angle whose sine is equal to 5/13. So, you need to find arcsin(5/13).
To get the answer, follow these steps:
1. Open a scientific calculator that supports inverse trigonometric functions (arcsin or sin^-1).
2. Enter 5/13 (or 0.3846) into the calculator.
3. Press the "arcsin" or "sin^-1" button on the calculator.
4. The calculator will display the measure of the angle, which is approximately 22.6 degrees.
Therefore, the measure of angle A, to the nearest tenth of a degree, is 22.6 degrees.