As seen from a point P, one end A of an island is 4 miles away and the other end B is 1 mile away. The island subtends at P and angle of 80°. Find the length of the island.
A road 9 miles long runs from a point P to a point O on a straight beach, making an angle of 32° with the beach. Two other straight roads, each 6 miles long, lead from P to the beach. How far is it from O along the beach to the nearer of these?
The earth is approximately 92.9 million miles from the sun, and 240,000 miles from the moon. When the angle sun-earth-moon is 25°, how far is the moon from the sun?
In order to obtain the distance from a point A to an inaccessible point B, a base line AC and the angles A and C were measured. If AC = 800 ft, A = 46°, C = 38°, find AB.
b. Sketch the graph of a single function f that satisfies all of the following conditions:
i) lim f(x)=-2 as x approaches neg infinity
ii) lim f(x) = 0 as x approaches infinity
iii) lim f(x) = infinity as x approaches -3 from the right
iv) lim f(x)= neg infinity as x approaches -3 from the left
v) lim f(X) = -2 as x approaches 3 from the right
vi) f is continuous from the right at 3