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What Else Can We Do With Trigonometry? Accelerated Math II October 24, 2008 One Minute Question In the triangle below, write the value of cos A in simplest form. A 26 C 24 B One Minute Question In the triangle below, find cos A. adj 10 5 cosA A hyp 26 13 10 26 C 24 B Homework Questions? Quilt Design Task • The Friendship Quilt Block is the first one from your task. If the segments shown are the length of the straw, cut segments to complete the diagonals of the quilt square. The Empire State Building From a point 100’ from the base of the Empire State Building, the angle of elevation to the top is 86º. Based on this information, how tall is the Empire State Building? The Empire State Building From a point 100’ from the base of the Empire State Building, the angle of elevation to the top is 86º. Based on this information, how tall is the Empire State Building? h tan 86 100 100 tan 86 h h 1430' h 100’ Angles… • As you know, the calculator knows the sine, (cosine and tangent) of every acute angle. So, if we know what the sine of an angle is, can we find the angle??? Angles… Try this… You know that the sin 30º = .5, So if we type in .5, can we get the calculator to give us 30?? Angles… So check by finding the smallest angle in a 3-4-5 right triangle. 5 3 θ 4 Since sin θ = 3/5, the angle can be found by… And it is 36.87º Angles… So, if we know an angle measures 50º, we can find the sine of that angle by Typing But if we know that the sine of an angle is .46, we can find the angle By typing Finding sides and angles… Solve this triangle. A 14 B 9 C Solve this triangle. A a2 + b2 = c2, 14 a2 + 92 = 142 a2 + 81 = 196 a2 = 115, so BC = 115 = 10.72 B 9 C 9 1 9 cosA , so A cos 14 14 So, type to get m A = 49.99 º. And, mB = 90º – 49.99º = 40.01º Homework Pg. 168: 1-7, 16-19 Pg. 174: 1-24 odd, 25-27 Quiz Monday on Special Right Triangles and basic trig definitions – so review special right triangles and trig definitions…