# Trigonometry Solved Problems

Related Topics: More Lessons on Trigonometry Trigonometry Games The following diagram shows how SOHCAHTOA can help you remember how to use sine, cosine, or tangent to find missing angles or missing sides in a trigonometry problem. For example, divide an isosceles triangle into two congruent right triangles. Step 4: Mark the angles or sides you have to calculate.Example 2: Suppose that from atop a 100m vertical cliff a ship is spotted at an angle of depression of 12 degrees. Also, find the distance from the top of the cliff to the ship.

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Negative Angles Trigonometric ratios for negative angles can be derived using the circular concept of negative angles and can be derived using cartesian notation and conventions.

Periodicity and Periodic Identities The basic concept of trigonometry is based on the repetition of the values of sine, cos and tan after 360⁰ due to their periodic nature.

In a right-angled triangle, we have Hypotenuse, Base and Perpendicular.

The longest side is known as the hypotenuse, the other side which is opposite to the angle is Perpendicular and the third side is Base.

Answer You can walk across the Sydney Harbour Bridge and take a photo of the Opera House from about the same height as top of the highest sail.

This photo was taken from a point about `500\ "m"` horizontally from the Opera House and we observe the waterline below the highest sail as having an angle of depression of `8°`.

Find the distance of the foot of the ladder from the wall.

Also, find the distance from the ground to the top of the ladder.