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julsineya [31]
3 years ago
3

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24cm. Angle ZXY measures 70.

Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0
Draw (see attachment)

so we can see we might want to find YZ or XY

sin(70°)=opositeside/hypotnuse=YZ/24
cos(70°)=adjacentside/hypotonuse=XY/24

alrighty

sin(70°)=YZ/24
cos(70°)=XY/24

to solve for each side, multiply both sides of both by 24

24sin(70°)=YZ
24cos(70°)=XY

use your calculator
YZ≈22.5526 cm
XY≈8.20848 cm

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