Posted by Mike on Thursday, April 5, 2012 at 11:42pm.
Find the indicated angle è.
(Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 110 and c = 136 (angle B=38)
Round your answer to two decimal places.)
- Pre-Calc Helppp!!! - Henry, Saturday, April 7, 2012 at 11:13pm
Law of Cosines:
cosB = (a^2+c^2-b^2)/2ac.
cos38 = ((110)^2+(136)^2-b^2) / 29920.
0.7880 = (30596-b^2) / 29920.
30,596-b^2 = 0.7880*29920 = 23576.96.
-b^2 = 23,976.96-30596 = -6619.04.
b^2 = 6619.04.
b = 81.36.
Law of Sines:
sinA/a = sinB/b.
sinA / 110 = sin38 / 81.36.
Multiply both sides by 110:
sinA = 110(sin38 / 81.36) = 0.832384.
A = 56.34 Deg.
C = 180 - 38 - 56.34 = 85.66 Deg.
Answer This Question
More Related Questions
- Trig Help Please!!! - Find the indicated angle è. (Use either the Law of Sines ...
- Pre-Calc Helppp!!! - Use the Law of Sines to solve for all possible triangles ...
- Trigonometry/Geometry - Law of sines and cosines - In most geometry courses, we ...
- Pre calculus - Why is it dangerous to use the law of sines to find an angle but ...
- Trig - Law of sines and cosines - ABC is an equilateral triangle with side ...
- math - solve each triangle using either the Law of Sines or the Law of Cosines. ...
- pre calc - the longest side of a triangle is 34 feet. the measures of two angles...
- Physics - Two dogs pull horizontally on ropes attached to a post; the angle ...
- Law of cosines - A tree on a hillside casts a shadow 215 ft down the hill. If ...
- physics - Two dogs pull horizontally on ropes attached to a post; the angle ...