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mixer [17]
3 years ago
12

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

potenuse X Y is 42 and the length of X Z is 21. Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction
Mathematics
2 answers:
Serjik [45]3 years ago
5 0

*See attachment for the diagram

Answer:

Tan 60 = √3

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Tan 60 = Opp/Hyp

From the diagram given,

Opp = YZ = ?

Hypotenuse = XY = 42

Find the length of YZ using Pythagorean Theorem:

YZ = √(42² - 21²) = √1,323

YZ = √(441 × 3) = 21√3

✔️Find Tan(60):

Tan 60 = Opp/Hyp = YZ/XY

Tan 60 = (21√3)/21

Tan 60 = √3

bulgar [2K]3 years ago
3 0

Answer:

Tan 60 = √3

Explanation:

Trust!

Hope this helps! :)

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