What is the length of ad¯¯¯¯¯¯¯¯? ad≈ enter your answer as a decimal rounded to the nearest hundredth.

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!

the answer is 1 becuz if it were 1.0 that would rip apart the entire so ya. : )

~potato.

copyright potato 2019.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west