Mathematics: X, y and mans shadow length?

3x+22+5x-17=778x+5=778x=72X=9Angle ABD3(9)+2227+22=49Angle DBC5(9)-1745-17=28...

X, y and mans shadow length? - id10658398, tomoetoes6910

lorelei7668

18.03.2022

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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