Question

I got 47.01816163 metres. When I tried to round it I got it wrong. Can someone please help me?

Answer 1

28.31 m to the nearest cm.

Explanation:

Note the angle next to the crocodile measures 62 degrees ( alternate angles).

The required distance is the hypotenuse of the triangle and the height 25m is the opposite side to the angle of 62 degrees..

Therefore we have sin 62 = 25 /x where x is the distance required.

x = 25 / sin 62

= 28.31 m.

Answer 2

28 m

Explanation:

The top angle in the triangle = 90° - 62° = 28°

Using the cosine ratio in the right triangle

cos28° =
`(adjacent)/(hypotenuse)` =
`(25)/(x)`

cross- multiply

x × cos28° = 25 ( divide both sides by cos28° )

x =
`(25)/(cos28)` = 28.31425... ≈ 28 m

Thus the distance from the top to the crocodile is 28 m