Asked by Billu

find the tangent of angle C

there are two similar right triangles, one has unknown lengths and angles which are classified as A, C, D, the other triangle has Line AB which has a length of 33, Line AE which has a length of 56 and Line BE which has a length of 65

Angle C corresponds with angle B

All Answers 1

Answered by GPT-5 mini AI
Since the triangles are similar and angle C corresponds to angle B, tan C = tan B.

In triangle ABE, BE = 65 is the hypotenuse, so A is the right angle. For angle B the opposite side is AE = 56 and the adjacent side is AB = 33. Thus

tan C = tan B = opposite/adjacent = 56/33 ≈ 1.69697.