Trigonometry Answers

From a cruise ship travelling due north at 16.5 km/h, a wrecked ship x and an observation tower y are observed in line due east. One hour later the wrecked ship and the tower have bearings S34*40'E and S65*10'E.
Find the distance between the wrecked ship and the tower.

Two hot-air balloons are moored to level ground below, each at a different location. An observer at each location determines the angle of elevation to the opposite balloon as shown at the right. The observers are 2.0 km apart.
a) What is the distance separating the balloons, to the nearest tenth of a kilometre?
b) Determine the difference in height (above the ground) between the two balloons. Round your answer to the nearest metre.

Sin(y)+sin(y)cot^2(y)=cosec(y)

Establish two formulas using Napier’s rules I and II if side a is taken as the middle part.

Establish two formulas using Napier’s rules I and II if Angle B is taken as the middle part.

1. If hypotenuse c is taken as the middle part, identify the two adjacent parts and two opposite parts

Is it possible to find a spherical triangle having the following sides? Explain why?

a = 120° b = 125° c = 130°

Is it possible to find a spherical triangle having the following angles? Explain why?

A = 135° B = 150° C = 90°

Is it possible to find a spherical triangle having the following angles? Explain why?

A = 160° B = 65° C = 90°

Using Napier’s rules solve the triangle ABC if:
1. a = 45° 20′
c = 63° 10′ C = 90°
2. A = 48° 26′ B = 100° 40′ C = 90°
3. a = 103° 15′ b = 58° 23′ C = 90°