In a ship of length 28m, height of its most is 12m if the height of the most in its mood 9cm what is the length of the model ship?
31 cm
21 cm
11 cm
41 cm
A
11 cm
B
41 cm
C
21 cm
D
31 cm
Open in App
Solution
Verified by Toppr
A mast is located a exact center of a ship
In ΔleABC
tanθ=ABBC=1214
⇒θ=tan−1(1214)=40.601o
θ will be same for model ship too:
⇒tanθ=Height of mast of model shiplength of model ship
tan(40.601)=9cmL
L=9tan(40.601)
⇒L=10.5cm≈11cm
Was this answer helpful?
1
Similar Questions
Q1
In a ship of length 28m, height of its most is 12m if the height of the most in its mood 9cm what is the length of the model ship?
View Solution
Q2
In ship of length 28m, height of its mast is 12m. If the height of the mast in its model is 9cm what is the length(in cm) of the model ship?
View Solution
Q3
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?