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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.​

Respuesta :

tiarabby

Answer:

24m

Step-by-step explanation:

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

[tex] \sin( \alpha ) = \frac{opp}{hyp} [/tex]

[tex] \sin(27.5) = \frac{16.5}{x} [/tex]

[tex]0.6992 = \frac{16.5m}{x} [/tex]

[tex]x = \frac{16.5}{0.6992} [/tex]

[tex]x = 23.59m[/tex]

[tex]x = 24m \: (nearest \: \: metres[/tex]

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