Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2
meters away from the base of the tree. How high into the tree will the ladder reach? Round your answer to the nearest tenth of a meter.

5.7m

Step-by-step explanation:

the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:

sides a and b are the two shorter sides.

side c is the hypotenuse (longest side)

as shown in the picture below, because we know both sides c and b, we need to change the equation around:

replace these sides with their numbers:

(remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)