You were playing fetch with your dog and accidentally threw the toy and it got stuck on the roof of your house.
You leaned the ladder against your house at a 30° angle
of elevation. The foot of the ladder is 7 feet from the foot
of the house. How long is your ladder?

You leaned the ladder against your house at a 30 degrees angle -> This create a right triangle, with a 30 degree angle and your ladder is the hypotenuse.

The foot of the ladder is 7 feet from the foot of your house -> The opposite side = 7 feet

In a right triangle, the side that is opposite to a 30 degree angle = 1/2 of the hypotenuse

Since your ladder is the hypotenuse, and the opposite side is opposite to the 30 degree angle, your ladder is 7 x 2 = 14 ft long.

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: