Calculus! Any help would be appreciated!?

Question

Question 1

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1280 m due east and then turns due north and travels another 1830 m before reaching the campground. The second cyclist starts out by heading due north for 1480 m and then turns and heads directly toward the campground. (a) At the turning point, how far is the second cyclist from the campground? (b) What direction, measured as a positive angle relative to due east, must the second cyclist head during the last part of the trip?

Question 2
A person is standing at the edge of the water and looking out at the ocean. The height of the person's eyes above the water is h = 1.9 m, and the radius of the Earth is R = 6.37 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.)

Answer 1

Katina, where is the calculus? these are trig questions. but I will attempt to answwer them anyway.
if you scketch this you get:

1830-1480 = 350 m North
1280 m East
is what the second cyclist has to cover when heading directly towards the camp at an angle whose tangent = 350/1280
so heading is 15.29 degrees north of East.
for a distance of :
1280²+350²=D²
√(1280²+350²)= D
D ≈ 1327 m

2. The distance to horizon = DH
Earths radius = rE
DH²+rE²=(rE+1.9)²
DH²=(rE+1.9)² - rE²
DH = √[(6.37 x 10⁶+1.9)² - (6.37 x 10⁶)²]
DH ≈ 4920 m

Answer 2

You do not need calculus to solve these 2 questions

Tips: Draw diagram and it will become easier to see

Answer 3

heres a thought..... re read the text book.... conclude your answer from what you read.... you can not learn the material if you do not take the time to study it. Comprehension and Astute attention makes a better Student.