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?
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.
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".