Question

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.​

Answer 1

Answer:

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:

$a^{2} +b^{2} =c^{2}$

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:

$c^{2} -b^{2} =a^{2}$

replace these sides with their numbers:

$6^{2} -2^{2} = 32$ (remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

$\sqrt{32} =5.65685...$

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)

 

Answer 2

Answer:

5.7

Khan

Alright

Make me brainliest please just once.

Step-by-step explanation: