Question

A flagpole stands in the middle of a flat, level field. 50 feet away from its base, a surveyor measures the angle to the top of the flagpole as 48 degrees. How tall is the flagpole? Round to the nearest hundredth of a foot

Answer 1

Answer:

54yhqa54u56

Step-by-step explanation:

Answer 2

Answer:

55.53 feet.

Step-by-step explanation:

We have been given that a flagpole stands in the middle of a flat, level field. 50 feet away from its base, a surveyor measures the angle to the top of the flagpole as 48 degrees.

We can see from attached photo that flagpole, the surveyor forms a right triangle with respect to ground.    

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(48^{\circ})=\frac{h}{50}$

$\text{tan}(48^{\circ})*50=\frac{h}{50}*50$

$1.110612514829*50=h$

$h=1.110612514829*50$

$h=55.53062574$

$h\approx 55.53$

Therefore, the height of the flagpole is approximately 55.53 feet.