Ablimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. the slanted distance directly to the pagoda at the startdashfinish line is d feet. express the horizontal distance h as a function of d.

The expression of h as function of x is   h =

Step-by-step explanation:

Given as :

The distance of blimp  (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = =

And sin Ф =   =

∵, cos²Ф = 1 - sin²Ф

So, =

Or, =

Or,                                     h² = d² - 5500²

∴                                        h =

Or,                                     h =

Hence The expression of h as function of x is   h =     Answer