right triangle triginometry

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algrnpue

Mathematics

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correctly answer and show all work for multiple choice questions on attached document

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Find csc α in the right triangle below. 10/6 ⅗ ⅘ 5/4 Find tan α in the right triangle below. A. B. 2/3 C. D. Find x in the triangle below. Round to the nearest tenth. 10.7 18.3 9.0 16.7 Find x in the triangle below. Round to the nearest degree. 65° 25° 42° 48° Find x in the triangle below. Round to the nearest tenth. 3.8 21.3 9.9 19.3 Find x in the triangle below. Round to the nearest degree. 43° 47° 70° 20° Find the exact value of x in the triangle below. a B. C. D. =-=------Find the exact value of x in the triangle below. a. B. C. D. If the secant of angle Θ is 13/5, what is the value of the sine of angle Θ? 5/13 12/13 13/5 5/12 A geologist measured a 40° of elevation to the top of a mountain. After moving 0.5 kilometer farther away, the angle of elevation was 34°. How high is the top of the mountain? (Hint: Write a system of equations in two variables.) 0.8 km. 0.95 km. 1.7 km. 2.05 km. =========================================
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Explanation & Answer

Attached is the solution. Please let me know if you have any questions

Find csc α in the right triangle below.

Remember that csc = 1 / sin. In terms of the legs of a right triangle, sin = opposite over hypotenuse.
That means the csc will be the hypotenuse over opposite.
In the triangle, the hypotenuse = 10 and the adjacent = 6. First solve for the opposite side and then
find the csc.

o 2+ 6 2= 102
o 2+ 36= 100
o 2= 100− 36
o 2= 64
o= √64
o= 8
csc α =

10 5
=
8 4

10/6


5/4
Find tan α in the right triangle below.

tangent is the opposite side divided by the adjacent side. Find the adjacent side then determ...


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