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Westkost [7]
3 years ago
10

A man looks up at the top of a tree. The angle of elevation is 42°. If the tree is 20 feet tall, which of the following best rep

resents the distance from the base of the tree to where the man is standing?
A. 18.6 ft
B. 20.4 ft
C. 22.2 ft
D. 24.6 ft
Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0
You can draw a right triangle with theses measures:

elevation angle = 42°

base = adjacent angle = distance from the base of the three to where the man is standing.

height = opposed angle ≈ height of the tree = 20 feet.

Note: this is assuming that the elevation angle is from the ground (this is the man is looking laying on the ground).

=> tan(42) = opposed angle / adjacent side => 20 feet / x

=> x = 20 feet / tan(42) = 22.21 m

Answer: option C. 22,2 feet
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Solve for x. one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6 A. x= -19 and x =-11 b.
Firdavs [7]

The value of x in the given expression can be either -41 or 45. The correct option is B.

<h3>What is Absolute Value?</h3>

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.

  • When x>0,

(1/5)(x-4) - 3 = 6

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(1/5)(-x+4) - 3 = 6

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x = -41

Hence, the value of x in the given expression can be either -41 or 45.

Learn more about Absolute value here:

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