Question

a A boy on top of a water tank 16.5 m high observed a plate on the ground at an angle of depression of 27,5°. Calculate the distance from the top of the tank to the plate to the nearest whole number.​

Answer 1

24m

Explanation:

The distance from the top of the tank to the plate is the hypotenuse of the right angled triangle

`\sin( \alpha ) = (opp)/(hyp)`

`\sin(27.5) = (16.5)/(x)`

`0.6992 = (16.5m)/(x)`

`x = (16.5)/(0.6992)`

`x = 23.59m`

`x = 24m \: (nearest \: \: metres`