Trigonometric Functions

Video: Finding Trigonometric Functions Right Triangle Approach

1. Given that \(\sin \theta = \frac{3}{5}\), and \(\theta\) is an acute angle, find the exact value of each of the remaining five trigonometric functions of \(\theta\).  solution

2. Find the exact values of the six trigonometric ratios of the angle $\theta$ in the triangle shown in the following figure.   solution

3. Solve the right triangle shown in the following figure.  solution

4. Solve the right triangle shown in the following figure.  solution

5. A 14-foot-tall ladder leans against a building so that the angle between the ground and the ladder is $65^\circ$. How high (in ft) does the ladder reach on the building? (Round your answer to the nearest foot.)   solution

6. The builder of a parking garage wants to build a ramp that meets the ground at \(30^\circ\). If the horizontal span covers \(30\) feet, how long is the ramp?  solution