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

someone help please !!!

Answer 2

Haha well the mentioned diagram would help :p

Answer 3

did you see the diagram ?(:

Answer 4

Yes I did! Just give me a sec haha

Answer 5

ok thank you so much haha (:

Answer 6

The beauty of it is that you do have a triangle so that makes things a lot easier. So you can bisect the conic triangle into halves to form another triangle:

Now, what they are asking for is the hypotenuse of this newly formed right triangle so you can use trigonometry:
\[\eqalign{
&\cos A=\frac{40}{hyp} \\
&\cos\frac{77}{2}=\frac{40}{hyp} \\
&hyp=\frac{40}{\cos\frac{77}{2}} \\
&hyp\approx51.1
}\]

Answer 7

ohh okay thank you so much (:

Answer 8

No prob :)

Answer 9

plato answer D