Help me please, i really don't understand!!
2 answers:
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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
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
and 
to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
We can conclude that the correct answer is the fourth one.