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The angle of elevation of a car on a road to the top of a tower is 45°. If the distance between the car and the tower along the road is 22 ft, find the height of the tower.



Answer :

Let the height of the tower be h.

Then,

[tex]\tan 45^o=\frac{h}{22}[/tex][tex]\Rightarrow h=22\tan 45^o=22\times1=22ft[/tex]

Hence, the height of the tower is 22ft

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