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Geometry

Trigonometric Functions

Bearing Problems

         

The mast in the above diagram is \(9\) meters high and a wire is stretched tight to form a straight line to the top of the mast at an angle of \(60^\circ.\) How long is the wire in meters?

The length of \(\overline{AC}\) is 4 and the length of \(\overline{BC}\) is \(2\sqrt{2}\). What is the length of \(\overline{AB}\)?

In the above diagram, the length of the shadow of the building is \(a=32\) meters and the end of the shadow forms an angle of \(60^\circ\) with the sun. What is the height of the building?

A perfectly straight tree is struck by lightning and breaks at point \(A\). After falling, the tree forms a triangle with the ground at angle \(\angle ACB =30^\circ\) and the distance between the top and bottom of the tree is \( d =27\text{ m},\) as illustrated in the above diagram. What is the height of the tree before being struck by lightning?

The mast in the above diagram is \(21\) meters high and a wire is stretched tight to form a straight line to the top of the mast at an angle of \(60^\circ.\) How long is the wire in meters?

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