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 -Constable/1726830769-127.JPG)
Answer: (b)
In a yellow box there are 5 red, 6 green, and 4 yellow balls while in a blue box there are 3 red, 7 green, and 5 yellow balls. One ball is drawn at rand...
22 defective pens are accidentally mixed with 136 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen i...
There are (m + 4) red roses, (m + 9) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 3/10, then find t...
Tokens numbered 1 to 350 are in a bag. What is the probability that the Token drawn has a number which is a multiple of 6 or 7?
A bag contains 5 red flowers, 7 yellow flowers and 8 green flowers. 3 flowers are drawn randomly. What is the probability that the flowers drawn contain...
Two fair six-faced dice are rolled simultaneously. What is the probability that the product of the numbers obtained is divisible by 4 but not divisible ...
21 rotten bananas are accidentally mixed with 135 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
A bag has x blue balls and 4 yellow balls. If the probability of picking a blue ball is 3/5, find the probability that two balls drawn at once are of di...
A bag contains 10 red books, 7 yellow books and 7 green books . 3 books are drawn randomly. What is the probability that the...
A box contains 6 Brown and 8 Blue caps. There is another box which contains 8 Brown and 7 Blue caps. One cap is to drawn from either of the two boxes. ...
Relevant for Exams:
