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)
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
364 * 4 * 7 * 4 * 12 = 75
Which one of the given mathematical operations will result in 429?
Select the odd group of numbers.(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digi...
Select the correct combination of mathematical signs that can sequentially replace '*' sign and balance the equation given below.
432 * 6 * 9 * 1...
Which of the following symbols should replace the sign (%) and (&) in the expression ' E > J ≥ N % T < S ≤ U = W & Y ≥ L' in order to make the exp...
Which two signs should be interchanged to make the given equation correct?
8 – 32 + 20 × 15 ÷ 3 = 271
If '%' means (+), '#' means ( - ), '@' means ( X ), and '&' means (÷), then what is the value of the expression:
80 % 110 & 5 @ 9 # 104
What will be the value of the given expression after the following interchanges?
Expression: 324 + 22 - 7 X 4 ÷ 36 - 28
Interchanges: Sig...
If 14 (16) 8 and 28 (20) 5, then what is the value of A in 63 (A) 4?
Which two signs should be interchanged to make the given equation correct?
11 – 22 + 30 × 25 ÷ 5 = 267
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