
A single engine private plane flies due North for an hour and minutes at an average speed of . It then turns and flies at the same average speed for an hour and a half on a bearing of . At the end of this time, determine its bearing from its initial position.

Important Questions on Which Triangle is Just Right for you? (Right-Angled Triangles and Trigonometric Ratios)
Two ships leave port at and each one travels on a straight line course. The first one travels on a bearing of at and the second one travels on a bearing of at . Determine how far the two ships are from one another at noon.

A lookout post is on top of a hill that is above sea level. From the base of the lookout post, the angle of depression of a boat out at sea is , and from the top of the lookout post, the angle of depression of the boat is . Find the height of the lookout post. [Enter the value excluding units]

A kite string is long. As the wind blew, the angle between the kite and the ground went from degrees to degrees. Determine the increase in the vertical height of the kite above the ground.

Find length in the following diagram. [Enter value to the nearest integer]

Find length in the following diagram. [Enter the value correct up to two decimal places and excluding units]

A ladder is resting against a vertical wall. The base of the ladder is from the wall. Keeping its base fixed, the ladder is rotated so that it now rests against the opposite wall which is away. Determine the angle through which the ladder has been rotated. [Enter the value in degrees excluding degree symbol correct up to one decimal]

A coast guard attendant atop a cliff high observes two boats in line with him at angles of depression of degrees and degrees. Determine how far apart the boats are.
