Question
From a point on the ground, the angle of elevation to
the top of a tree is 30 degrees. If you walk 20 feet closer to the tree, the angle of elevation becomes 45 degrees. What is the height of the tree?Solution
Let the height of the tree be h feet. Let the initial distance from the point on the ground to the tree be x feet. From the first angle of elevation, we have tan(30) = h/x From the second angle of elevation, we have tan(45) = h/(x - 20) Since tan(45) = 1, we have 1 = h/(x - 20), so h = x – 20 Substituting h into the first equation: tan(30) = (x - 20)/x Answer: (b)
Find the wrong number in the given number series,
29, 56, 120, 245, 501, 804Â
27, 35, 51, 75, 109, 147
1024 3072 384 1152 145 432
80, 88, 101, 122, 150, 185
6, 22, 76, 314, 1580, 9600
11, 12, 20, 58, 234, 1168
Find the wrong number in the given number series.
1, 4, 9, 16, 27, 36
There are two wrong number series given in question and three relationships has been derived from that you have to answer the correct relationship betwe...
63Â Â Â Â Â 98Â Â Â Â Â 140Â Â Â Â Â 192Â Â Â Â Â 251Â Â Â Â 318
...- Find the wrong number in the given number series.
12, 20, 31, 45, 62, 84