Exam 12: Introduction to Trigonometry
Exam 1: Preliminary Concepts23 Questions
Exam 2: Line and Angle Relationships35 Questions
Exam 3: Parallel Lines80 Questions
Exam 4: Triangles79 Questions
Exam 5: Quadrilaterals94 Questions
Exam 6: Similar Triangles71 Questions
Exam 7: Circles78 Questions
Exam 8: Locus and Concurrence51 Questions
Exam 9: Areas of Polygons and Circles77 Questions
Exam 10: Surfaces and Solids79 Questions
Exam 11: Analytic Geometry85 Questions
Exam 12: Introduction to Trigonometry66 Questions
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The slant height of a regular square pyramid meets the apothem of the base to form an angle measuring 59°. If the length of the slant height is 12.6 cm, find the length of each side of the square base of the pyramid. Provide the answer correct to the nearest tenth of a centimeter.
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In the figure, m
= 90 ° and m
= 27 ° . Find the length of b correct to nearest tenth of a unit.


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Correct Answer:
B
Across the flat terrain, Meg and Mara see a forest ranger tower that they know is 120 feet high. If their angle of elevation to the top of the tower is 3 degrees, how far (to the nearest foot)will Meg and Mara have to walk to get to the tower? [Hint: 1 mile = 5280 feet.]
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In the isosceles triangle shown, m
= 30 ° while AC = AB = 10 inches. Find the area of the triangle.

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In the 3-4-5 right triangle, find m
to the nearest degree.

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In
, AB = 12, AD = 18, and m
= 56 ° . To the nearest square unit, find the area of
.



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In
(not shown), m
= 90 ° . If a = 8, b = 15, and c = 17, find m
correct to the nearest degree.



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In a right triangle,
. Find the value of
.


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From a distance of 345 feet across a flat meadow, the top of a tower is seen through an angle of elevation of 27°. To the nearest foot, how tall is the tower?
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In a right triangle, the tangent ratio of an angle has the form
.

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In a right triangle, the measures of the angles are
,
, and
= 90 ° . With the lengths of the opposite sides being a , b , and c respectively, find tan
.




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In
,
is a right angle while SR = 11 and ST = 13. To the nearest degree, what is the measure of
?



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In
, the lengths of the sides are a = 8, b = 10, and c = 12. To the nearest degree, find m
.


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(34)
Find the exact value of tan 60°.
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If m
= 67 ° , b = 17.4 cm, and c = 12.5 cm, find the area of
correct to the nearest square centimeter.


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is not a right triangle. If m
= 72 ° , m
= 38 ° , AB = 12.4, and BC = 19.2, find the length of
correct to the nearest whole unit.[Hint: Consider altitude
.]
![is not a right triangle. If m = 72 ° , m = 38 ° , AB = 12.4, and BC = 19.2, find the length of correct to the nearest whole unit.[Hint: Consider altitude .]](https://storage.examlex.com/TBX8811/11ebfb55_24cc_b738_9d86_2b8f0781a428_TBX8811_11.jpg)
![is not a right triangle. If m = 72 ° , m = 38 ° , AB = 12.4, and BC = 19.2, find the length of correct to the nearest whole unit.[Hint: Consider altitude .]](https://storage.examlex.com/TBX8811/11ebfb55_24cc_b739_9d86_63bc15e38ed1_TBX8811_11.jpg)
![is not a right triangle. If m = 72 ° , m = 38 ° , AB = 12.4, and BC = 19.2, find the length of correct to the nearest whole unit.[Hint: Consider altitude .]](https://storage.examlex.com/TBX8811/11ebfb55_24cc_de4a_9d86_bdb8ae95c7b2_TBX8811_11.jpg)
![is not a right triangle. If m = 72 ° , m = 38 ° , AB = 12.4, and BC = 19.2, find the length of correct to the nearest whole unit.[Hint: Consider altitude .]](https://storage.examlex.com/TBX8811/11ebfb55_24cc_de4b_9d86_21a821a747a9_TBX8811_11.jpg)
![is not a right triangle. If m = 72 ° , m = 38 ° , AB = 12.4, and BC = 19.2, find the length of correct to the nearest whole unit.[Hint: Consider altitude .]](https://storage.examlex.com/TBX8811/11ebfb55_24cc_de4c_9d86_1b3f8c578124_TBX8811_11.jpg)
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The lengths of the sides of a right triangle are a , b , and c (the hypotenuse). Given that
, find an expression for
.


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