Remember, even if you enter an answer rounded to a set number of decimal places, if you use that number in a future calculation, you should use all of the decimal places reported on your calculator! Solve triangle ABC if ZA = 37.5°, a = 186.2, and b 244.6. sin B = (round answer to 5 decimal places)

Trigonometry (MindTap Course List)
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Chapter2: Right Triangle Trigonometry
Section: Chapter Questions
Problem 1RP: The origins of the sine function are found in the tables of chords for a circle constructed by the...
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Remember, even if you enter an answer rounded to a set number of decimal places,
if you use that number in a future calculation, you should use all of the decimal
places reported on your calculator!
Solve triangle ABC if ZA = 37.5°, a =
186.2, and b = 244.6.
sin B =
(round answer to 5 decimal places)
There are two possible angles B between 0° and 180° with this value for sine. Find the two angles, and
report them so that ZB1 is the acute angle.
ZB1 =
ZB2 =
and
(round these and all remaining answers to 1 decimal place)
Thus, two triangles satisfy the given conditions: triangle A1 B1C1 and triangle A2 B2C2.
Solve the first triangle: A1B1C1
ZC1 =
and c1 =
Solve the second triangle: A2 B2C2
ZC2
and c2
Transcribed Image Text:Remember, even if you enter an answer rounded to a set number of decimal places, if you use that number in a future calculation, you should use all of the decimal places reported on your calculator! Solve triangle ABC if ZA = 37.5°, a = 186.2, and b = 244.6. sin B = (round answer to 5 decimal places) There are two possible angles B between 0° and 180° with this value for sine. Find the two angles, and report them so that ZB1 is the acute angle. ZB1 = ZB2 = and (round these and all remaining answers to 1 decimal place) Thus, two triangles satisfy the given conditions: triangle A1 B1C1 and triangle A2 B2C2. Solve the first triangle: A1B1C1 ZC1 = and c1 = Solve the second triangle: A2 B2C2 ZC2 and c2
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