It depends exactly how long the shadow of the pole is... multiply whatever it is by 36/15 to get the answer.
The height of the tree is in direct proportion to the pole and its shadow
Height of telephone pole: 20*tan(70) = 55 feet rounded
6 feet
For pole: ratio of shadow to pole = 12/8 = 1.5 So, for tree, ration = 1.5 24/H = 1.5 so H = 24/1.5 = 16 ft
If a 27 ft tall pole casts an 18 foot shadow, a 63 ft tall pole casts an x foot shadow.Put 27/18 and 63/x.Cross multiply, get 27x=1134Divide by 27 on both sides, a 63 foot tall pole casts a 42 foot long shadow.
Assuming the ground is flat, you can apply Pythagoras's theorem and: length = sqrt(202 + 7.52) = sqrt(456.25) = 21.36 feet (approx).
(12 / 5) × 33 = 79.2 feet high Divide the pole shadow by the pole height: (12 / 5) = 2.4 feet Times the 2.4 by the tree shadow of 33 feet: 2.4 x 33 = 79.2
208 ft pole
The sunlight's vertical angle to the man (standing straight) and to the totem pole is the same. Therefore the length of their shadows (one side of a right triangle) to their heights (the other side) will have the same ratio.Man is 74 inches tall, shadow is 4 feet.Totem Pole is X inches tall, shadow is 6 feet (1.5 times as long)74 inches x 1.5 = 111 inches, the height of the totem pole (9' 3" tall).
17.45 feet.
Divisibles, the 6 foot man would cast a shadow 2 feet long.