Answer:
42 feet.
Step-by-step explanation:
We have been given that a flagpole is 50 feet from a point on the ground. The angle of depression from the top of the flagpole to the same point on the ground is 40°.
We can see from the attachment that side 50 is adjacent and side h is opposite side to angle 40 degrees.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(40^{\circ})=\frac{h}{50}[/tex]
[tex]\text{tan}(40^{\circ})*50=\frac{h}{50}*50[/tex]
[tex]0.839099631177*50=h[/tex]
[tex]41.95498155=h[/tex]
[tex]h=41.95498155[/tex]
[tex]h\approx 42[/tex]
Therefore, the height of the flagpole is 42 feet.
