Kiera is sketching a logo design for a client. The client wants the logo to be her initials inside of a right triangle. The right triangle has a base length of four inches and a height of two inches, with the right angle on the left and between the two measurements. What is the approximate angle measure of the angle formed at the top of the triangle logo? Round your answer to the nearest whole degree
To find the angle measure at the top of the triangle logo, we can use the inverse tangent function.
The tangent of an angle is equal to the ratio of the opposite side (the height, 2 inches) to the adjacent side (the base, 4 inches). So, the tangent of the angle is 2/4 = 0.5.
To find the angle measure, we can take the inverse tangent (also known as the arctangent) of 0.5.
Using a calculator, we find that the arctangent of 0.5 is approximately 26.57 degrees.
Rounding this to the nearest whole degree, the approximate angle measure of the angle formed at the top of the triangle logo is 27 degrees.