Question

Boy Scout Troop 69 has 50 members. Write a program in which the troop leader can enter the number of bottles of energy drinks sold by each scout, and output the total number of bottles sold and the mean and median value.​

Answer 1

Explanation:

Let AB be the tower and (A, B)

the flag staff, CA=hm

Let D be observation point, such that angle of elevation of top & c bottom, be α & β respectively.

In ΔABD,

tanβ=

BD

AB

BD=ABcotβ …………..(1)

In ΔCBD,

tanα =

BD

CB

BD=CBcotα[∴CB=CA+AB=h+AB]

BD=(h+aB)cotα ………(2)

Equating (1) & (2) equation,

ABcotβ=(h+AB)cotα

ABcotβ=hcotα+ABcotα

AB(cotβ−cotα)=hcotα

AB=

cotβ−cosα

hcotα

AB=

tanβ⋅tanα

tanα−tanβ

tanα

h

AB=h(

tanα−tanβ

tanβ

),