Question

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep, and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim?

Answer 1

D. 51.1 centimeters

Explanation:

Correct for plato users

Answer 2

51.15 cm

Explanation:

Data provided

Basin = 40 centimeters deep

The Angle between the sloping sides = 77°

The calculation of the shortest distance between the tip of the cone and its rim is shown below:-

The angle will get divided and the angle is as follows

`(77^\circ)/(2)=38.5^\circ`

Here In the first triangle, we will follow "Cosine formula" which follows:-

`\cos 38.5^\circ=(Base)/(Hypotenuse)`

`cos 38.5^\circ=(40)/(Hypotenuse)`

`\\\\0.782=(40)/(Hypotenuse)`

`\\\\Hypotenuse=(40)/(0.782)`

`=51.15\ cm`