For a given right triangle, side a = 400 feet and side b = 900 feet. What is the measure of angle B to the nearest degree?

For a given right triangle, side a = 400 feet and side b = 900 feet. What is the measure of angle B to the nearest degree?

To find the measure of angle B in a right triangle, you can use the inverse tangent function (arctan) which relates the lengths of the sides to the angles. In this case, since you know the lengths of side a and side b, you can use the arctan function to find angle B.

The formula to find the measure of an angle in a right triangle using arctan is:

angle = arctan(opposite/adjacent)

In this case, side b is the opposite side and side a is the adjacent side with respect to angle B.

So, the formula becomes: angle B = arctan(400/900)

To calculate this, you can use a calculator or do it manually using trigonometric tables or mathematical software. The result is approximately 24.2 degrees.

Therefore, the measure of angle B to the nearest degree is 24 degrees.