Question

an ant is looking up at you with an angle of elevation of 24°. you are 5 feet. tall how far is the ant from your foot?

Answer 1

Formula: T= O/A
T is Tangent.
O is opposite side.
A is adjacent.
In this problem, T is 24 degree. O is 5 feet.
you are finding A.
if you substitute,
Tan(24) = 5/A
A x Tan(24)=5
A=5/Tan(24)
put 5/Tan(24) in the calculator.
you will get
A=11.23 feet

Answer 2

X = the distance from me to the ant

$tan24= \frac{5}{x} \\ x(tan24)=5 \\ \frac{x(tan24)}{tan24} = \frac{5}{tan24} \\ x= \frac{5}{tan24}$
x≈11.23018386952108
x≈11

The ant is about 11 feet away from my foot.