Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Question

2 months ago

11

and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim?

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-03-18T08:42:03+03:00

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin has a depth of 40 centimeters

The angle of the sloping sides is 77°

The calculation for the shortest distance from the tip of the cone to its edge is detailed below:-

The angle will be split and is as follows

$\frac{77^\circ}{2}=38.5^\circ$

In the initial triangle, we will apply the "Cosine formula" as follows:-

$\cos 38.5^\circ=\frac{Base}{Hypotenuse}$

$cos 38.5^\circ=\frac{40}{Hypotenuse}$

$\\\\0.782=\frac{40}{Hypotenuse}$

$\\\\Hypotenuse=\frac{40}{0.782}$

$=51.15\ cm$