1. A straight stretch of a mountain highway drops at a grade of 5 degrees. If you drive a distance of 12 miles along this road, how far do you descend
vertically? Submitting work is required for this problem.

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: