Question

Consider a triangle ABC like the one below. Suppose that A=113, b=16, and c=45. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or". B-1: C-8: a- No solution x 6 ? Deshaun wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements shown in the figure below. Use these measurements to find the length of the tunnel. 271 m 126 m Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth of a meter. meters X 5 ? Donna and Brian are standing on a riverbank, 230 meters apart, at points A and B respectively. (See the figure below.) They want to know the distance from Brian to a house located across the river at point C. Donna measures angle A (angle BAC) to be 52°, and Brian measures angle B (angle ABC) to be 67º. What is the distance from Brian to the house? Round your answer to the nearest tenth of a meter. 230 m meters x 5 ? |

Answer 1

Date: Page No: ② solution geven A = 1130 b = 16 into & diagram toys C = us Apply cosine qule na a ² = b ² + c ² - 2 b C (OSA q2 = (16) + (45)? - 2X16X45 05 (113) 42 - 2043:6528 19 = 53.3259] Any Appey sine rule sina SinB sinc 16 53.3259 sin 113 sinB SinB = 0. 2761 11B - 16.0329° Ang LAT LB + c also = 180 TLC = So.967 1 My No My Note Book

Date: Page No: 726 @ length of tunnel x X 271m 33 Apply cesine rule. (BC)2 = (AC)? +(AB) - 2(A)(AB) (05 A *2 = (126)2 + (271) - 2x126x271605 73 x² = 69350.3515 x = 263.3445 m Aug conside distance from brian to house = x m. A 250mg 520 find Angle C LA+LBtLc = 180 LC = 180-52-67 6 Subject Teacher Subject Teacher Apply sine rule 230 - sinc 230 - X Sino1 Sinsa x SinA ...... to...... II om From. x = 207.2243 m Ave
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