Question
Find the measure of angle B below. Round your answer to the nearest whole number.
17 is the hypotenuse, 15 is the adjacent, and 8 is the opposite
(1 point)
Responses
62 degrees
62 degrees
34 degrees
34 degrees
28 degrees
28 degrees
56 degrees
17 is the hypotenuse, 15 is the adjacent, and 8 is the opposite
(1 point)
Responses
62 degrees
62 degrees
34 degrees
34 degrees
28 degrees
28 degrees
56 degrees
Answers
GPT-4o mini
To find the measure of angle B in the right triangle, we can use the sine, cosine, or tangent functions. In this case, given that 15 is the adjacent side and 8 is the opposite side, we can use the tangent function:
\[
\tan(B) = \frac{\text{opposite}}{\text{adjacent}} = \frac{8}{15}
\]
To find angle B, we take the arctangent (inverse tangent) of both sides:
\[
B = \tan^{-1}\left(\frac{8}{15}\right)
\]
Using a calculator:
\[
B \approx \tan^{-1}(0.5333) \approx 28.07 \, \text{degrees}
\]
Rounding to the nearest whole number, the measure of angle B is approximately **28 degrees**.
\[
\tan(B) = \frac{\text{opposite}}{\text{adjacent}} = \frac{8}{15}
\]
To find angle B, we take the arctangent (inverse tangent) of both sides:
\[
B = \tan^{-1}\left(\frac{8}{15}\right)
\]
Using a calculator:
\[
B \approx \tan^{-1}(0.5333) \approx 28.07 \, \text{degrees}
\]
Rounding to the nearest whole number, the measure of angle B is approximately **28 degrees**.