If the angles of elevation of the top of the candle from two coins distant 'a' cm and 'b' cm (a > b) from its base and in the same straight line from it are 30° and 60°, then find the height of the candle.​

Answers 2

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Let AB=candle

C and D are coins

tan60°= AB/BC = h/b

√3 = h/b

h = b√3 --------------(1)

tan30°= AB/BD = h/a

1/√3 = h/a

h = a/√3 --------------(2)

Multiplying (1) and (2), we get

h2= b√3 × a/√3

h2 = ba

h =√ab m

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Initial velocity of car u = 20 m/s.

Final velocity =v= 0

Distance traveled after applying brakes = s = 50 m

The third equation of motion is: v^2 = u^2 +2 × a ×s

0^2 = 20^2 +2×a×50.

0 = 400 + 100×a

-400 = 100 a

a = - 400/100 - 4m/s^2

Force = m× a =1000 kg × (-4)m/s^2 = -4000 kgm/s^2

Force = - 4000 Newton's

Negative sign shows that force direction is opposite to velocity direction.

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