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1 vote
What is the length of AD¯¯¯¯¯¯¯¯?

AD≈

Enter your answer as a decimal rounded to the nearest hundredth.

What is the length of AD¯¯¯¯¯¯¯¯? AD≈ Enter your answer as a decimal rounded to the-example-1
User Sina Lotfi
by
7.9k points

1 Answer

4 votes

First, you need to calculate the hypotenuse, this is possible because we know the value of one angle, 72 degrees, and one angle is 90 degrees.

sin72 = DC / AC , sin of an angle = opposite / hypotenuse

AC = DC / sin72, we must calculate the value of sin72 by calculator, and sin72 = 0,254

AC = 6/0,254 = 23,62

From here, we use the Pythagorean theorem to calculate AD, like such:

AD^2 = AC^2 - DC^2

AD^2 = 23,62^2 - 6^2

AD^2 = 557,90 - 36 = 521,9

AD = square root of 521,9

AD = 22,845 = 22,8

It seems a bit weird, but that's what the math says. Hope this helps!

User Alexandru Dinu
by
8.2k points
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