Exam 7: Applications of Trigonometric Functions

The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency? - $d = - 1 \cos \left( \frac { \pi } { 2 } t \right)$

Solve the triangle. Find the angles  and  first. - $a = 8 , b = 13 , c = 17$

Solve the problem. -A straight trail with a uniform inclination of 18° leads from a lodge at an elevation of 800 feet to a mountain lake at an elevation of 7,100 feet. What is the length of the trail (to the nearest foot)?

Find the area of the triangle. If necessary, round the answer to two decimal places. - $\alpha = 23 ^ { \circ } , b = 9 , c = 2$

Write the word or phrase that best completes each statement or answers the question. -Two surveyors 180 meters apart on the same side of a river measure their respective angles to a point between them on the other side of the river and obtain 5. How far from the point (line-of-sight distance) is $54 ^ { \circ } \text { and } 68 ^ { \circ }$ each surveyor? Round your answer to the nearest 0.1 meter.