Question

Please solve the question below 88

Answer 1

7361.56 yards

Explanation:

Height of the tower = 906 yards

Mauricio's height = 2 yards

Angle of elevation =
`7^(o)`

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 =
`(opposite)/(adjacent)`

Tan
`7^(o)` =
`(904)/(x)`

0.1228 =
`(904)/(x)`

x =
`(904)/(0.1228)`

= 7361.5635

x = 7361.56 yards

The distance between Mauricio and the base of the tower is 7361.56 yards.