Answer:
7361.56 yards
Step-by-step explanation:
Height of the tower = 906 yards
Mauricio's height = 2 yards
Angle of elevation = [tex]7^{o}[/tex]
Let the distance between Mauricio and the base of the tower be represented by x.
The difference between the height of tower and Mauricio's height = 906 - 2
= 904 yards
So that applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]7^{o}[/tex] = [tex]\frac{904}{x}[/tex]
0.1228 = [tex]\frac{904}{x}[/tex]
x = [tex]\frac{904}{0.1228}[/tex]
= 7361.5635
x = 7361.56 yards
The distance between Mauricio and the base of the tower is 7361.56 yards.
