Name_____________________________________ Date________________ Period___________ Test Review Page 13
Trigonometry Test Review
1) Use the figure at the right to find the trigonometric ratio simplified and decimal to the nearest thousandth.
sin A = __________, _____________
C
cos B = __________, _____________
6
7
B
19
tan B =___________,_____________
A
cos A=____________,_____________
tan A = ___________, _____________
2) In the ∆LMN, angle N is a right angle, MN = 12 and LM = 13. Find cos M and tan L in simplified ratio form and
decimal to the nearest thousandth.
3) In the right ∆XYZ, angle Z is a right angle and sin X =
decimal to the nearest thousandth.
14
.
18
Write cos X and tan Y in simplified ratio form and
For #4 & #5, find the measures of the line segments to the nearest tenth and angles to the nearest degree.
4.
5.
Draw a picture, write and solve the equation, and answer the question being asked for the following word problems.
Round all distances to the nearest tenth and angle measures to the nearest degree.
6. A fireman’s ladder leaning against a house makes an angle of 72° with the ground. If the ladder is 3 feet from the
base of the house, how long is the ladder?
7. In a right triangle, a leg measures 9.6 and the hypotenuse measures 15.2. Solve the triangle.
8. From the top of a building, the angle of depression of a car is 7.3°. If the direct –line distance from the top of the
building to the car is 1,000 feet, how tall is the building?
9. Your cat is trapped on a tree branch 6.5 meters above the ground. Your ladder is only 6.7 meters long. If you place
the ladder’s tip on the branch, what angle will the ladder make with the ground?
10. Scientists estimate the heights of features on the moon by measuring the lengths of the shadows they cast on the
moon’s surface. From a photograph, you find that the shadow cast on the inside of a crater made by its rim is 325
meters long. At the time the photograph was taken, the sun’s angle to the horizontal surface was 23.6°. How high does
the rim rise above the inside of the crater?
11. From a point on the North Rim of the Grand Canyon, a surveyor, sighting the South Rim a little below the North rim,
measures the angle to be 5.6°. From an aerial photograph, he determines that the horizontal distance between the two
points is 1,600 meters. How many meters is the South Rim below the North Rim?
12. ΔXYZ is an isosceles triangle with equal sides of 13cm. The base of the triangle is 10cm. Find all three angles of the
isosceles triangle to the nearest degree.
13. A light house sits at the top of a sheer cliff. The top of the light house is 33 meters above sea level. The angle of
depression to sight a small fishing boat at sea level is 24°. How far is it in meters from the top of the light house to the
fishing boat?
14. You are standing 600 feet from the Eiffel Tower in France. You determine that the angle of elevation to the top of
the Eiffel Tower is 58.5°. You eye level is 6 feet above the ground. Find the height, in feet, of the Eiffel Tower?