Exam 2: Right Triangle Trigonometry

Refer to right triangle ABC with . Solve for all the missing parts using the given information.  inches,   inches Round the answers for the angles to two decimal places, and for the side, to one decimal place. ​

Refer to right triangle ABC with . Solve for all the missing parts using the given information.  inches,  inches Apply the rules regarding the use of significant digits when determining your answer. __________ ​ __________ ​ __________ inches

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round each answer to the nearest whole number. ​

Change the following to decimal degrees. If rounding is necessary, round to the nearest tenth of a degree. 73°12' __________°

Use a calculator to find the following. Round your answer to four places past the decimal point. cot 31° ​

Subtract. (86°34') - (25°64')_____°_____'

Refer to right triangle ABC with . ​ ​ If  and  yd, find a . Round the answer to the nearest hundredth. ​

There is a right triangle ABC with , , and . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________

In the figure, the distance from A to D is y , the distance from D to C is x , and the distance from C to B is h . ​ If , , , and , find x , then y . Round each answer to the nearest tenth. ​

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round the answer for the angle to two decimal places, and for the sides, to three decimal places. ​

Change the following to decimal degrees. If rounding is necessary, round to the nearest hundredth of a degree. 44°21' __________°

In the figure, the distance from A to D is y , the distance from D to C is x , and the distance from C to B is h . ​ If , , , and , find x , then y . Apply the rules regarding the use of significant digits when determining your answer. __________ ​ __________

The figure shows two right triangles drawn at  to each other. ​ If , , and , find x and then find h . Apply the rules regarding the use of significant digits when determining your answer. __________ ​ __________

Suppose each edge of the cube shown in the figure is 4 inches long. Find the measure of the angle formed by diagonal CF and edge  CD . Round your answer to the nearest tenth of a degree. __________

Use a calculator to complete the following table. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.

For the expression , replace z with , and then simplify as much as possible.

Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A ship is anchored off a long straight shoreline that runs north and south. From two observation points 14 miles apart on shore, the bearings of the ship are N 32° E and S 50° E. What is the shortest distance from the ship to the shore? Round your answer to the nearest tenth of a mile. ​

Two planes take off at the same time from an airport. The first plane is flying at 260 miles per hour on a bearing of S  E. The second plane is flying in the direction S  W at 265 miles per hour. If there are no wind currents blowing, how far apart are they after 3 hours? What is the bearing of the second plane from the first after 3 hours? ​

Find cos A in the right triangle below. ​