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In ΔUVW measure of angle V is 90^0. If s...

In ΔUVW measure of angle V is `90^0`. If sinU = 24/25, and UV = 0.7cm, then what is the length (in cm) of side VW?

A

2.5

B

3

C

2 .4

D

4

Text Solution

AI Generated Solution

To solve the problem step by step, we'll use the information given about triangle UVW, where angle V is 90 degrees, sin U = 24/25, and UV = 0.7 cm. ### Step 1: Understand the triangle and the sine function In triangle UVW, angle V is the right angle. The sine of angle U (sin U) is defined as the ratio of the length of the side opposite angle U (which is VW) to the length of the hypotenuse (which is UW). ### Step 2: Set up the relationship using sine From the definition of sine: \[ \sin U = \frac{\text{Opposite}}{\text{Hypotenuse}} \] ...
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