49.Let xrepresent the vertical change of the planeafter climbing at a constant angle of 3° for 60ground miles.tan3°6x060tan3°xKEYSTROKES:60 3x3.1The plane is about 3.11 or 4.1 miles above sea level.50.Let xrepresent the maximum height.sin75°¬2x020sin75°¬xKEYSTROKES:20 75x19.32The ladder can reach a maximum height of about19.32 feet.51.Let xrepresent the distance from the base of theladder to the building.cos75°2x020cos75°xKEYSTROKES:20 75x5.18The base of the ladder is about 5.18 feet from thebuilding.52.Explore:You know the coordinates of the verticesof a right triangle and that Cis the right angle.You need to find the measure of one of the angles.Plan:Use the Distance Formula to find themeasure of each side. Then use one of thetrigonometric ratios to write an equation. Use theinverse to find mJ.Solve:JC(22)2(22)2016 or 4CL(72)2[2(2)]2250 or 5JL(72)2(22)2251641tanJCJCLtanJ54Jtan154KEYSTROKES:[TAN1] 5 4 mJ51.34019175The measure of Jis about 51.3.
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