Question

In right triangle SNV, NV is the hypotenuse, and the measure of angle N is 27°. What is the shortest side of triangle SNV? Estimate the length of that side to two decimals if ND = 8.

a) SN

b) NV

c) SV

d) ND

Answer 1

In a right triangle SNV with NV as the hypotenuse and angle N as 27°, we can use the sine ratio to find the shortest side SN.

Step-by-step explanation:

In right triangle SNV, NV is the hypotenuse and the angle N is given as 27°.

The shortest side of the triangle can be determined using trigonometric ratios. Since N is the angle opposite to the shortest side, we can use the sine ratio:

sin(N) = opposite/hypotenuse

sin(27°) = SN/NV

The value of SN can be found by rearranging the equation:

SN = sin(27°) * NV

Substituting NV = 8 into the equation, we can solve for SN.