in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?

Question

Cierra

Mathematics

25 July, 19:31

in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?

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Nico · Answer 1

The cosine represents the ratio of the length of the adjacent to the length of the hypotenuse

For angle B, adjacent is DC = 39 and hypotenuse is CB which is the longest side

So the ratio representing cosine of angle B is 39/89