+0  
 
0
80
2
avatar+4 

When the sun shines at a 60º angle to the ground, Noemi’s shadow is 39 in. long. To the nearest inch, how tall is Noemi?

 Apr 7, 2021
 #1
avatar+530 
0

since the angle is 60, we know it's a 30 60 90 triangle. 

this means her height is 39 ÷ √3 = 13√3 ≈ 22.52 inches. 

 Apr 7, 2021
 #2
avatar
0

Previous answer is incorrect.

 

It is a 30 60 90 triangle as described, but the short side of the triangle opposite the 30° angle is the length of the shadow, or 39".

 

Naomi is the long side of the triangle opposite the 60° angle.  Therefore her height as a function of the length of the shadow is:

 

\(height = shadow \sqrt 3\)

\(height = 39 \sqrt3 \approx 67.5\)

 

Rounding the above to the nearest inch makes Naomi 68 inches tall, or 5 ft. 8".

 Apr 7, 2021

23 Online Users

avatar
avatar
avatar
avatar
avatar