Answer: The height of the telephone pole = $15.046
Step-by-step explanation:
Given: Angle of elevation= 62 degrees.
Distance of Ben from the base of the pole = 8 feet
According to trigonometry, we have
[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]
i.e.
[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]
Hence, The height of the telephone pole = $15.046
