Let angle A be and acute angle in a right triangle. Approximate the measure of andgle A to the nearest tenth of a degree.
cos A = 0.11
Find the inverse of cosA, so cos-(.11)=83.7
I hope it's right!
Well, if cos A = 0.11, then A must really love math! But let's find out the approximate measure of angle A to the nearest tenth of a degree. We can use the inverse cosine function (cos^(-1)) to solve for A. So A = cos^(-1)(0.11). Grab your calculator and let's get to the bottom of this!
To find the measure of angle A, we can use the inverse cosine function (also known as arccos or cos^-1) to find the angle whose cosine is equal to 0.11.
So, A = cos^-1(0.11).
Using a calculator, we can find the value of the inverse cosine of 0.11. Rounding the result to the nearest tenth of a degree, we get:
A ≈ 83.6 degrees.
Therefore, the approximate measure of angle A to the nearest tenth of a degree is 83.6 degrees.
To approximate the measure of angle A in a right triangle, we can use the inverse cosine function (cos^-1) or the arccos function.
First, we need to find the inverse cosine of 0.11. We can do this by using a scientific calculator or an online calculator with trigonometric functions.
Using the inverse cosine function, we input 0.11 as the value and get the result in radians. Let's say the result is approximately 1.4602 radians.
To convert this result from radians to degrees, we multiply it by 180/π (approximately 57.2958 degrees/radian).
Approximate measure of angle A = 1.4602 * (180/π) ≈ 83.75 degrees.
Therefore, the measure of angle A is approximately 83.75 degrees when rounded to the nearest tenth.