Question

On a bright sunny afternoon/evening in the Knoxvegas park a 5 ft - 10 in. person measures their shadow to be 6.5 ft long and measures a tree's shadow to be 52 ft long NOTES IMAGES DISCUSS UNITSSTATS HELP Part Desc ription Answer Chk History How tall is the tree? (include units with answer) A: 46.6 ft C: 46.67 ft # tries: 2 show Details Hints: 11 Assuming the sun rises at 8am and sets at 5pm, how much daylight is 540 min left? (include units with answer) 24 pts. 9690 в. # tries: 2 Show Details Format Check 2% try penalty Hints : 31

Answer 1

"(a) Both triangles are similar h/s_2^' = 5^' 10^""/6.5^' = 5.83^'/6.5^' h = 5.83/6.5 times 52 = 46.64 ft h = 46.64 ft (b) theta = tan^-1(h/52) = tan^-1(46.64/52) = 41.89 degrees Length of the day = 4 + 5 = 9 hr sun will cover 180 degrees in a day or in 9 hr day light/41.89 = 9/180 day light = 9/180 times 41.89 = 2.09 hr day light left = 2 hr"