Tom wants to reach second floor window on a house that is 20 feet above ground. if he must put the ladder at a 70° angle to the ground, how long must the ladder be?

21.28 feet

Step-by-step explanation:

Using the attached image, the length of the ladder is x. This represents the hypotenuse side of the right angled triangle that was formed. The height of the window from the floor is the opposite side. Thus going by SOH CAH TOA,

sin 70° = 20/x

x = 20/sin 70°

= 21.28 feet

The ladder must be 21.28 feet long

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!