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Travka [436]
3 years ago
14

X, y and mans shadow length?

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

x = 9.6 meters

y = 20.98 meters

Shadow length = 11.38 meters

Step-by-step explanation:

By applying tangent rule in right triangle ABD,

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

tan(21) = \frac{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)° = \frac{BC}{AB}

tan(40)° = \frac{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

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