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13. A flagstaff stands on the top of a 10 m hightower. From a point on the ground the angleof elevation of the top of the flagstaff is 609and that of the tower is 45 Find the distanceof the point of observation (on the ground),from the top of the flagstaff. Also find theheight of the flagstaff. |
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Answer» 7.32 m is the correct answer of the given question A|60° | | B45° | | | C------------------------------DBC= TOWERCD= DIST FROM TOWER TO PTIN∆ BCD TAN45= BC/CD1= BC/CDCD= BCIN∆ACD TAN60= AC/CD√3CD= AB+BC√3BC-BC= 10BC(√3-1)=10BC= 10(√3+1)/(√3-1)(√3-+1) = 10(1.732+1)/3-1 = 5×2.732 = 13.66mheight of tower and dist from tower to the point = 13.66m |
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