Trigonometric Applications - Test Test Answers

Find the measure of angle cap q , the smallest angle in a triangle whose sides have lengths 4 , 5 , and 6 Round the measure to the nearest whole degree.

What is the area of triangle XYZ ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area is equal to 1 half A b sine cap c

Which measures are accurate regarding triangle JKL ? Choose two correct answers.

What is the area of triangle PQR ? Round to the nearest tenth of a square unit.

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

Which equation correctly uses the law of cosines to solve for y ?

Which is the best approximation of the value of x ? Use the law of sines to find the answer.

The height, h , in feet of a buoy in relation to sea level as a function of time, t , in seconds can be modeled by the given graph. How long does it take for the buoy to go from its highest point to its lowest point and then back to its highest point?

What is the area of triangle ABC ? Round to the nearest hundredth of a square unit.

To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed?

The height, h , in feet of a ball suspended from a spring as a function of time, t , in seconds can be modeled by the equation h is equal to 3 sine open paren pi over 2 times open paren t plus 2 close paren close paren plus 5 Which of the following is the graph of this equation?

The law of cosines for triangle RST can be set up as 5 squared is equal to 7 squared plus 3 squared minus 2 7 3 cosine cap s What could be true about triangle RST ? Law of cosines: A squared is equal to b squared plus c squared minus 2 b c cosine cap A

Law of sines: sine of cap A over A is equal to sine of cap b over b is equal to sine of cap c over c In triangle BCD , d is equal to 3 , b is equal to 5 , and m angle cap d is equal to 25 degrees What are the possible approximate measures of angle cap b ?

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h , the height in feet of the end of one blade, as a function of time, t , in seconds? Assume that the blade is pointing to the right, parallel to the ground at t is equal to 0 seconds, and that the windmill turns counterclockwise at a constant rate.

The height, h , in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t , in hours? Assume that the time at t is equal to 0 is 12:00 a.m.

Law of sines: sine of cap A over A is equal to sine of cap b over b is equal to sine of cap c over c Triangle ABC has measures A is equal to 2 , b is equal to 2 , and m angle cap A is equal to 30 degrees What is the measure of angle cap b ?

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute . Write a sine model, y is equal to A sine b t plus k , for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t is equal to 0 and that the windmill turns counterclockwise at a constant rate.

Which equation can be used to solve for angle cap A ?

How much material is used for the entire kite, quadrilateral KITE ? Round to the nearest square inch.

What is the measure of angle cap s to the nearest whole degree?

What is the measure of angle cap n to the nearest whole degree?

The distance, d , in inches of a weight attached to a spring from its equilibrium as a function of time, t , in seconds can be modeled by the given graph. Which equation is represented in the given graph?

What is the approximate length of line segment KL ? Use the law of sines to find the answer.

What is the measure of angle cap p to the nearest whole degree?

What is the area of triangle DFG ? Round to the nearest whole square unit.