A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole?
can i use tan(35degrees) = 60/h
which gives me 85.714.
Please check. Thanks!
tan35=60/h
h=60/tan35deg
you are correct.
Yes, you can use the trigonometric function tan to solve this problem. The formula you mentioned, tan(35 degrees) = 60/h, is correct. To find the height of the flagpole (h), you need to isolate it in the equation.
tan(35 degrees) = height of flagpole (h) / length of the shadow (60 ft)
Using algebra, you can rearrange this equation to solve for h:
h = 60 ft * tan(35 degrees)
Calculating this expression gives:
h ≈ 60 ft * 0.7002
h ≈ 42.012 ft
Therefore, the height of the flagpole is approximately 42.012 feet.