Question

A)
Kiera is sketching a logo design for a client. The client wants the logo to be her initials inside of aright triangle. The right triangle has a base length of four inches and a height of two inches, with theright angle on the left and between the two measurements. What is the approximate angle measure ofthe angle formed at the top of the triangle logo? Round your answer to the nearest whole degree.
(1 point)

Answer 1

Let the right angle be at A, the base endpoint at B (4 in to the right), and the top at C (2 in up). For angle C, opposite = 4 and adjacent = 2, so

tan C = 4/2 = 2 ⇒ C = arctan(2) ≈ 63°.

Answer: 63°.