I don't know how good you are at doing division in your head, but in each case,
height/shadow = tanθ
In the case of (A), since 0.48 is about 1/2, the tree will be a bit less than 1/2 as long as the shadow. Since 378/532 > 1/2 I guess (A) is false.
since tan 45° = 1, B is false using similar reasoning
Same for C.
So, I guess D is the only choice
HOW CAN I DO THIS WITHOUT A CALCULATOR?
A giant redwood tree casts a shadow, as shown in the figure. (Hint: tan25.7 = 0.4817)
(A) If the shadow casted is 532 At long, and if the angle of elevation of the sun is 25.7°, then the height of the tree
approximately equals to 378 ft.
(B) If the angle of elevation of the sun is 48.5°, the height of the tree is 256 ft, then the shadow casted is approximately
312 ft.
(C) If the angle of elevation of the sun is 36.8°, the shadow casted is 312 ft then the height of the tree is approximately
432 ft.
(D) None of the above (A) (B) (C) is true
1 answer