A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from the base along the axis of symmetry and the opening is 20 feet​ across, how deep should the searchlight​ be?

The searchlight should be 6.25ft deep

Step-by-step explanation:

Given

Required

The depth of the searchlight

implies that the search light span 10 units to either side of the x-axis

implies that the search light span 4 units to the y-axis

The attached image illustrates the revolution.

From the attached image, the endpoints of the searchlight is:

The depth (a) of the search light is calculated using:

Make a the subject

Substitute -10 or 10 for x and 4 for y

idk

step-by-step explanation: