ANSWER FOR 30 POINTS A 13-foot ladder is leaning against a tree. The bottom of the ladder is 5 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?

12 feet

Step-by-step explanation:

Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.

13 feet - hypotenuse

5 feet - can be a or b

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 144

b = √144

b = 12

The top of the ladder reaches 12 feet up the tree.

Hope that helps.

12 ft

Step-by-step explanation:

These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft.  The vertical side (height above ground to top of ladder) is to be found.  According to the Pythagorean Theorem,

5^2 + (vertical side)^2 = 13 ft = 169, and so

(vertical side) = sqrt( 169 - 25 ) = 144 (ft)

The top of the ladder is s 12 ft above the ground.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

exactly you go it

step-by-step explanation: