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riadik2000 [5.3K]
2 years ago
11

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?

Mathematics
1 answer:
Alenkinab [10]2 years ago
4 0

Answer:

51.15 cm

Step-by-step 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

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

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

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