Given a = 13, b = 29,
find the missing sides and angles in the right triangle, where a is the side across from angle A,
b, across from B, and
c across from the right angle
Round your answers to three decimal places
c = 31,780, A = ?, B = ?
trying to find A and B
c is correct. Now just find A using
sin A = a/c = 13/31.780
once you have A, recall that A+B=90°
for A i got 0.40906 so 0.409 is that correct?
No, you want the angle whose sine is .409
Since sin(30°) is 0.5, your angle will be somewhat less than that. Use your calculator. There is probably a 2nd function button, then hit sin. Check whether it is in degrees or radians mode.
To find the missing angles A and B in a right triangle, we can use trigonometric functions such as sine, cosine, and tangent.
Given that we have side a = 13, side b = 29, and side c = 31.780. We know that side c is the hypotenuse, which is the longest side in a right triangle, and it is opposite the right angle.
To find angle A, we can use the sine function:
sin(A) = opposite/hypotenuse = a/c
sin(A) = 13/31.780
A = arcsin(13/31.780)
Using the arcsin function and substituting the value of 13/31.780, we can find the value of angle A.
Similarly, to find angle B, we can use the cosine function:
cos(B) = adjacent/hypotenuse = b/c
cos(B) = 29/31.780
B = arccos(29/31.780)
By using the arccos function with the value of 29/31.780, we can find the value of angle B.
Now, let's calculate the missing angles A and B using a calculator or trigonometric tables:
A ≈ 23.625 degrees
B ≈ 66.375 degrees
So, the missing angles in the right triangle are approximately A ≈ 23.625 degrees and B ≈ 66.375 degrees.