applications in trigonometry

1. The gradient of a road is 1:8. After walking 200m along the road, what is the vertical distance travelled?
Ans: 24.8m

2. The shadow of a tower is 30m long when the angle of elevation of the sun is 50^o. Find the length of the shadow when the angle of elevation of the sun is 35^o.
Ans: 51.1m

3. http://www.flickr.com/photos/27418452@N08/2550201475/

4. A helicopter is flying 300m above the sea. The pilot observes that the angles of depression of two ships, which are both due East, are 28^o and 5^o respectively. The distance between the two ships is?
Ans: 300(1/tan28 - 1/tan58)m