Question

PLS Help quick!!

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 77º. What is the shortest distance between the tip of the cone and its rim?

A. 177.8 cm
B. 64.3 cm
C. 50.3 cm
D. 51.1 cm
E. 41.1 cm

Answer 1

Option D. 51.1 centimeters

Explanation:

Correct answer for plato users

Answer 2

Option D. 51.1 cm

Explanation:

Please see attached photo for explanation.

In the attached photo, c is the distance between the tip of the cone and its rim.

The value of c can be obtained as follow:

Angle θ = 38.5°

Adjacent = WY = 40 cm

Hypothenus = WZ = c =?

Cos θ = Adjacent / Hypothenus

Cos 38.5 = 40 / c

0.7826 = 40 / c

Cross multiply

0.7826 × c = 40

Divide both side by 0.7826

c = 40 / 0.7826

c = 51.1 cm

Thus, the distance between the tip of the cone and its rim is 51.1 cm.