You know the flagpole is 10m tall and the angle of elevation to the top of it is 46 degrees. How far away are you from the base of the flagpole? Round to one decimal place. 46 degrees.
To find the distance from you to the base of the flagpole, you can use the tangent function.
Let x be the distance from you to the base of the flagpole.
tan(46°) = 10m / x
x = 10m / tan(46°)
x = 10m / 0.966
x ≈ 10.35m
Therefore, you are approximately 10.3 meters away from the base of the flagpole.