The angle of elevation from madison to the top of the statue of liberty is 79 degrees. if madison is standing 58.2 feet from its base and she is 5 feet tall what is the height of the statue of liberty show work

305 feet

Step-by-step explanation:

Refer the attached figure :

The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees i.e.∠ABE=79°

Madison is standing 58.2 feet from its base i.e.BE=CD=58.2 feet

She is 5 feet tall i.e. BC=ED=5 feet.

We are supposed to find the height of the Statue of Liberty i.e. AD

In ΔABE

AD = AE+ED = 299.4099+5 =304.409

Hence the height of the Statue of Liberty is 304.40 feet≈ 305 feet.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!