Given :
A building is of unknown height. At a distance of 400 feet away from the building .
An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .
To Find :
How far is the poster from the roof of the building .
Solution :
Height is given by :
( Here , is angle of elevation )
So , height of tower :
For height of poster :
Therefore , distance of poster from the roof of the building is :
Hence , this is the required solution .
Answer: The triangle has two angles of 49.99° and one angle of 80.02°
Step-by-step explanation:
We have a triangle with sides of 7mm, 9mm and 7mm
The triangle has two equal sides, so this means that this is a Isosceles triangle.
The angles are
The base of this triangle is the side with 9mm, and the two base angles are equal.
We can find the base angles by drawing a line from the middle of the base to the top vertice, then we will have a triangle rectangle with a hypotenuse of 7mm, a adjacent cathetus of 4.5 mm, and with this two things we can find the base angle by using the relation
cos(a) = adjacent cathetus/hypotenuse = 4.5mm/7mm
a = Acos(4.5/7) = 49.99°
Then in our isosceles triangle we have two base angles of 49.99°
To find the other angle we can use the fact that the 3 inner angles of a triangle adds up top 180°
Then
49.99° + 49.99° + A = 180°
A = 180° - 2*49.99° = 80.02°
Answer:
(-infinity, 1) ∪ (1,3) ∪ (3, +infinity)
Step-by-step explanation:
Here only the 2nd function, g(x) = x^2 - 4x + 3, affects the domain. Recognizing that division by zero is undefined, we set g(x) = 0 anyway and solve for x: x^2 - 4x + 3 = 0 = (x -3 )(x - 1) = 0. Thus, x cannot have either value 3 or 1. Using this info, we write the domain as follows:
(-infinity, 1) ∪ (1,3) ∪ (3, +infinity). This is Answer #3.
Answer:
If several points are graphed on a number line, the point that is farthest from 0 need NOT be always greater. Consider x axis, our Real number line. We can traverse in positive number direction and negative number direction.
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135000/6000=X
22.5=X
So this building would need 23 fire extinguishers <span />