The length of a shadow of a building is 60 ft when the sun is 66° above the horizon. Find the height of the building. Round your answer to the nearest hundredth.
thanks
2007-11-21 08:41:05 · 4 answers · asked by shauna s 1 in Science & Mathematics ➔ Mathematics
Let h = height
tan 66° = h/60
h = 60 tan 66° ft
h = 134.76 ft
2007-11-25 06:51:55 · answer #1 · answered by Como 7 · 1⤊ 1⤋
Use SOHCAOTOA
Cos(66)= 60/X
X= 60/ Cos(66)
X= 147.5156001
So the building is 147,52 Ft.
2007-11-21 08:51:03 · answer #2 · answered by Anonymous · 0⤊ 1⤋
easiest way is to draw out a triangle, put ur building as the upright, put the angle opposite this upright as 66, and ur horizontal as 60. Now label your triangle sides, so opposite, adjacent and hypotenuse. Then think bout what equation you need, in this case you need tan, as uve got ur adj, and need your opp. Now write out the equation,
tan 66 = opp/60
60 tan 66 = opp
now just plug it into ur calc nd round,
note: this answer is in feet, as ur 60 was in feet
2007-11-21 08:59:56 · answer #3 · answered by Anonymous · 1⤊ 1⤋
h/60' = tan(66)
h = 60' tan(66) = 134' 9"
2007-11-21 09:08:52 · answer #4 · answered by an 4 · 1⤊ 1⤋