Question

X, y and mans shadow length?

Answer 1

x = 9.6 meters

y = 20.98 meters

Shadow length = 11.38 meters

Explanation:

By applying tangent rule in right triangle ABD,

tan(21)° =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(21) =
`(x)/(25)`

x = 25(tan 21)

x = 9.5966

x ≈ 9.60 meters

Similarly, by applying tangent rule in ΔABC,

tan(40)° =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(40)° =
`(BC)/(AB)`

tan(40)° =
`(y)/(25)`

y = 25(tan 40°)

y = 20.98 meters

Length of the shadow of the man = y - x

= 20.98 - 9.60

= 11.38 meters