Answer:
[tex]Distance = 770ft[/tex]
Step-by-step explanation:
Given
[tex]Height =986[/tex]
[tex]\theta = 52[/tex]
Required
The distance between the tower and Eiffel
The distance is calculated using:
[tex]tan\alpha = \frac{Distance}{Height}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 52[/tex]
[tex]\alpha = 38[/tex]
So, we have:
[tex]tan(38) = \frac{Distance}{986}[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
