Question: From the top of a tower of height h meters the angle of depression of a red car is φ ° and the angle of depression of a blue car which is on the opposite side of the tower is θ °. If the distance between the foot of the tower and the red car is y meters, then find the height of the tower and the distanc between the two cars. Assume that the points of location of the cars and the foot of the tower are collinear. [Given y = 115, θ = 55° and φ = 40°.] A ) 96 m & 182 m B ) 98 m & 183 m C ) 96 m & 184 m D ) 101 m & 182 m Steps to derive 5 Draw the figure from the given data.6 Let A represent the top of the tower.7 Let BC represents the distance between two cars.8 Let h represents the height of the tower and x represents the distance between the foot of the tower and the blue car.9 In right triangle ABD, tan 40° = A D B D = h 1 1 5 Þ h = 115 tan 40° Þ h » 96 meters. [Substitute the value of tan 40° and simplify.]10 In right triangle ADC, tan 55° = h x Þ tan 55° = 9 6 y Þ y » 67 meters. [Substitute the value of tan 55° and simplify.]11 So, the distance between the two cars, BC = 115 + y = 115 + 67 = 182 meters.Hence the right answer is Option A Click Here To Go Back Few Other Questions - Solution for the inequality is given in set-builder notation. Solve and choose the correct.. Solve for x. 5ax + 8b < 2ax - 6b, a < 0.. Choose the graph which is the solution set of the compound sentence.x - 2 < 0 or 4x + 1.. Solve 3x > - 15 and 9x < 27 and graph the solution set if it is not the empty set... Solve and graph the solution set of the conjunction 2x + 1 ≥ - 3 and 2x - 3 < 1... Solve and graph the solution set of - 3 < 2x - 5 < 7... Solve the inequality, | x | + 3 < 10... Solve the inequality, | 2x | < 16... Solve the inequality, | x + 2 | - 3 < 5... Solve the inequality, | x - 3 | > 4... Solve the inequality, | 9 - x | < 5... 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