What are two solutions to the equation x squared = 144

Two solutions to this are 12 and -12.

When you square a number, positive or negative, you get a positive number (since a negative times a negative equals a positive and a positive times a positive equals a positive). So both 12 and -12 equal 144 when squared.

Scarlet is leaning a 12 foot ladder. When you lean a 12 foot ladder, it is s slanted so we will make 12 our slanted side or hypotenuse. It makes a 80 degree angle after contact with the ground so it will be on the lowest angle on the right. We are asked to find the vertical side or how high up the ground is. We are asked to a angle that is opposite of the given angle which is x .. And we are also given the hypotenuse. We are going to use sin using our SOHCAHTOA

Where there is our given angle.

Let plug it in

Multiply 12 by both sides and we get

Which about 11.8 if rounded to nearest tenth or 11.82 if rounded to nearest hundredth.

IF ROUNDED TO NEAREST TENTH, 11.8

IF ROUNDED TO NEAREST HUNDRETH, 11.82