The tallest television transmitting tower in the world is in North Dakota. From a point on level ground 5280 feet (one mile) fr
om the base of the tower, the angle of elevation is 29.4 degrees. Approximate the height of the tower to the nearest foot.
1 answer:
Answer:
2975 foot
Step-by-step explanation:
Let the tower be BC as shown in the diagram.
The distance from a point A on the level ground to the base B of the tower is 5280 feet.
We want to determine the height BC of the tower.
Using trigonometry
Tan θ =Opposite/Adjacent
Tan 29.4°=BC/5280
BC= 5280 X Tan 29.4°
=2975.12709969007
The height of the tower =2975 foot(to the nearest foot)
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