The height of the radio tower is 327.3070 feet.
EXPLANATION
Let's first sketch the problem.
From the sketch above, adjacent = 46 θ=82
opposite = h (height of the radio tower.
Using the trigonometric ratio,
[tex]\tan \theta=\frac{\text{opposite}}{\text{adjacent}}[/tex][tex]\tan 82=\frac{h}{46}[/tex]Cross-multiply
[tex]h=46\times\tan 82[/tex]h ≈ 327.3070 feet.
Therefore, the height of the radio tower is 327.3070 feet.
