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ollegr [7]
2 years ago
10

In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

Mathematics
1 answer:
monitta2 years ago
6 0

<u>Answer:</u> The ratio that represents the cosine of ∠T is \frac{56}{65}

<u>Step-by-step explanation:</u>

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

\cos \theta=\frac{\text{base}}{\text{hypotenuse}}

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

\cos \theta=\frac{UV}{TU}=\frac{56}{65}

Hence, the ratio that represents the cosine of ∠T is \frac{56}{65}

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