In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Question

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

in progress 0
Thu Cúc 5 months 2021-08-01T17:06:40+00:00 1 Answers 20 views 0

Answers ( )

    0
    2021-08-01T17:08:23+00:00

    Answer:  28/45

    Explanation:

    Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how “DC” does not contain the letter “E”. Furthermore, note how this is the largest side. So it’s the hypotenuse.

    The side ED = 28 is the opposite side of reference angle C, because “C” is nowhere to be found in the sequence “ED”.

    The side CE = 45 is the adjacent side because “E” is found in “CE”.

    The tangent ratio is…

    tan(angle) = opposite/adjacent

    tan(C) = ED/CE

    tan(C) = 28/45

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )