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The grade is the ratio of rise to run, i.e. the slope aka the tangent.
Answer: (a) 6 degrees
For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10. The height h or rise is the side opposite the small angle.
We could just take the sine of the angle we got but let's get it from the tangent exactly.
Dividing by squared cosine
Answer: (b) Rise of 0.199 km
Answer:
Choices C and D
Step-by-step explanation:
The most simplest way is just to solve each one and see which two have the same answer as the first expression.
But you could also see that both of the are going to cancel each other out so you are left with
which is also choice C.
For choice D I distributed the negative one to the insides of the parenthesis that left me with which is the same expression as the first one.