A surveyor measures the angle of elevation to the top of a building to be 70 degrees. The surveyor then walks 50 ft farther from the base of the tower and measures the angle of elevation to be 50 degrees. The surveyor's angle-measuring device 5.5 ft from the ground. How tall is the building, to the nearest foot?
Answers
Answer:
height of building,H = 5.5 ft + 105.2 ft = 111 ft to the nearest ft.
Step-by-step explanation:
in this question we have given angle of elevation=
when surveyor walks 50m farther from the base of the tower that time angle of elevation=
As shown in figure in triangle ABD
.............(1)
or h=2.74x
and in triangle ABC
...........(2)
put value of h in equation 2
we got,
therefore,
Height of the tower is,h=2.74\times 38.39ft
h=105.2ft
Therefore,
height of building,H = 5.5 ft + 105.2 ft = 111 ft to the nearest ft.
Working;
Start by drawing the diagram as shown in the attached diagram;
Then use the following trigonometric relations;
Tan (50)=
Tan (70)=
You can then use the value of x to find the value of h. Then add 5.5 ft to h to get height of the building
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Answers
8x+48=0
8x=-48
x=-6
Answers
40 = 12.99 + 15.49 + x
Total 40, 12.99 and 15.49 is how much he has spent, and x is the variable to be solved for
If this helped pls mark branliest.
Answer:
40-12.99-15.49=11.52
40-(15.49+12.99)=11.52
Step-by-step explanation:
There are two ways you can complete this you can just keep subtracting or you can add the two number that you need to subtract and then subtract them.
Answers
b. We can use the "definition of a square" because it states that it a square, every side is congruent. We can use this because we already know that the shape is a square due to a.
c. We can use "definition of a square" again for the same reason as b.
e. We know that the hypotenuses (hypoteni?) of both triangles are congruent, and they both share a side, so we can use the "Hypotenuse Leg Theorem"
f. Because we know that the triangles are congruent, we can use the "Base Angle Theorem" to say that the angles are congruent.
h. Because they share the same side, we can use the "Linear Pair Theorem" to say that they are supplementary angles
Hope this helped! Sorry if its a bit late. :D
The range is {y|y ≤ 6}.
The function is increasing over the interval (–∞ , –2).
The function is decreasing over the interval (−4, ∞).
The function has a positive y-intercept.
Answers
f(x) = -x2 -4x + 2
The standard form is:
f(x) =-(x+2)2 + 6
Since this a quadratic function, the domain is all real numbers.
The vertex is at (-2, 6)
Since there is a negative 1 before the square term, the graph is curved downwards.
Equating the function to 0, the y-intercepts can be determined which are 0.45 and -0.45.
Therefore, from the given statements, these apply:
The range is {y|y ≤ 6}.
The function is increasing over the interval (–∞ , –2).
The function is decreasing over the interval (−4, ∞).
The function has a positive y-intercept.
we have
using a graph tool
see the attached figure
Statements
case 1) The domain is {x|x ≤ –2}
Is false. the domain is all real numbers---------> interval (-∞,∞)
case 2) The range is {y|y ≤ 6}.
Is true
Is a parabola open down, the vertex is the point
the range is the interval ------> (-∞,-6]
case 3) The function is increasing over the interval (–∞ , –2).
Is true (see the graph)
case 4) The function is decreasing over the interval (−4, ∞)
Is false
In the interval (-4,-2) the function is increasing and in the interval (-2, ∞) the function is decreasing
case 5) The function has a positive y-intercept
Is true
The y-intercept is the point
therefore
the answer is
The range is {y|y ≤ 6}
The function is increasing over the interval (–∞ , –2)
The function has a positive y-intercept
Answers
Answers
plug 5 in for x: 2 * 3^5
3^5 is 3*3*3*3*3, or 243
multiply that by 2 to get 486.
hope this helps!