7.2E: Right Triangle Trigonometry (Exercises)
For the following exercises, use side lengths to evaluate.
17. \(\cos \frac{\pi}{4}\)
18. \(\cot \frac{\pi}{3}\)
19. \(\tan \frac{\pi}{6}\)
20. \(\cos \left(\frac{\pi}{2}\right)=\sin \left(\longrightarrow^{\circ}\right)\)
21. \(\csc \left(18^{\circ}\right)=\sec \left(\longrightarrow^{\circ}\right)\)
For the following exercises, use the given information to find the lengths of the other two sides of the right triangle.
22. \(\cos B=\frac{3}{5}, a=6\)
23. \(\tan A=\frac{5}{9}, b=6\)
For the following exercises, use Figure 1 to evaluate each trigonometric function.
Figure 1
24. \(\sin A\)
25. \(\tan B\)
For the following exercises, solve for the unknown sides of the given triangle.
26.
27.
28. A 15-ft ladder leans against a building so that the angle between the ground and the ladder is \(70^{\circ} .\) How high does the ladder reach up the side of the building? Find the answer to four decimal places.
29. The angle of elevation to the top of a building in Baltimore is found to be 4 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. Find the answer to four decimal places.