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Use the figure. Which trigonometric ratios have a value of 20/29? Select all that apply.
(A) cos A (D) sin B
Which of the following could be the measures of the sides of a right triangle?
C) 8, 15, 17
RAMPS - A 60-foot ramp rises from the 1st floor to the 2nd floor of a parking garage. The ramp makes a 15 degree angle with the ground. How high above the 1st floor is the 2nd floor? Express your answer to the nearest tenth of a foot.
15.5 feet
AIR TRAVEL - An airplane is flying at an altitude of approximately 2 miles above ground level. The pilot sights a landmark at an angle of depression of 11 degrees. One minute later, the pilot sights the same landmark at an angle of depression of 18 degrees. To the nearest tenth of a mile, how far did the plane fly in that minute?
4.1 miles
What is m<D to the nearest degree?
48°
Solve for x in the triangle 69° and 20. Round your answer to the nearest tenth.
52.1
The diagonal of a square is 10 inches long. What is the length, in inches, of each side of the square? Write the answer in simplified radical form.
5√2 inches
Two radio towers have been positioned 8 miles apart at points A and B. Point D is located exactly 4 miles from point A. The third tower will be placed at point C so that all three towers are equidistant from each other. What should be the distance from the third tower to point D? Round the answer to the nearest tenth of a mile.
6.9 miles
Solve the right triangle. Round your answers to the nearest tenth. A =; b =; c =
A = 43°, b = 25.7, c = 35.2
TREES - General Sherman, a tree located in Sequoia National Park, stands 275 feet tall. To see the top of the tree, Carlos looks up at a 15 degree angle of elevation. If Carlos is 6 feet tall, how far is he from the base of the tree to the nearest foot?
A) 1004 feet
During a storm, a tree breaks 6 feet above the ground and falls to form a right triangle. If the top of the tree rests 20 feet from the base of the tree, approximately how tall was the tree before the storm?
D) 27 feet
EXTRA CREDIT QUESTION - The diagonals of a rhombus have lengths 20 and 16. Find the perimeter of the rhombus. Give the EXACT perimeter. Perimeter =
Perimeter = 8√41
Determine whether a triangle with the given side lengths is a right triangle. (a) 27, 36, 45 (b) 6, 9, 11 (c) 4, 8, 9 (d) 6, 14, 19
a = right triangle, b = not right triangle, c = not right triangle, d = right triangle
In triangle ABC, BC = 10 and is the longest side of the triangle. If AB^2 + AC^2 < 100, then triangle abc is what? If AB^2 + AC^2 > 100, then triangle ABC is what?
is obtuse. is acute
A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find tan Y, Sin Y, and cos Y.
tan Y = 24/7, cos Y = 7/25, sin Y = 24/25
For the following right triangle 14 and 9, find the side length x. Round your answer to the nearest hundredth.
x = 10.72
Find the value of x for triangle 29 and 29. Round to the nearest hundredth.
x = 16
Find x for triangle 22 and 16. Round your answer to the nearest tenth of a degree.
x = 43.34
EXTRA CREDIT: Solve for x for triangle with 48° and 45°. Round to the nearest tenth.
x = 47.6
For triangle 8 and 43°, Find the values of x and y. Round to the nearest tenth. x =; y =
x = 9.2, y = 11.7
For triangle 2√3, Find the exact values of x and y. x =; y =
x = √3; y = 3
What are the values of x and y?
x= 2√15, y = 3√5
What is the value of tan 60°?
√3
