Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u />
(Angle Sum Property Of Triangles)
(Remove the brackets)
<u />
<u />
(Group Accordingly)
<u />
<u />
= 
= 
= 
= 
= 
= 
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
325 meters if using full height of 324 meters for tower
277 meters if using observation platform height of 276 meters.
When the depression is 37 degrees, you can create a right triangle with the angles 90, 37, and 53 degrees. The distance from a point directly underneath the observer will be:
h/tan(37)
where
h = height of the observer.
And when the depression is 72 degrees, the distance will be:
h/tan(72)
So the distance between the two points will be the absolute value of:
h/tan(72) - h/tan(37)
=(tan(37)h)/tan(37)tan(72) - tan(72)h/(tan(37)tan(72))
=(tan(37)h - tan(72)h) /(tan(37)tan(72))
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(-2.324129487/2.319200894)
=h*-1.002125125
And since we're looking for absolute value
=h*1.002125125
As for the value of "h" to use, that's unspecified in the problem. If you take h
to be the height of the Eiffel Tower, then it's 324 meters. If you take h to be
the highest observation platform on the Eiffel Tower, then it's 276 meters. In
any case, simply multiply h by the value calculated above:
=h*1.002125125
=324*1.002125125
= 324.6885406 m
=h*1.002125125
=276*1.002125125
=276.5865346
Answer:
i. <DCB = 
ii. Sin of <DCB = 0.8
Step-by-step explanation:
Let <DCB be represented by θ, so that;
Sin θ = 
Thus from the given diagram, we have;
Sin θ = 
= 0.8
This implies that,
θ = 
0.8
= 53.1301
θ =
Therefore, <DCB = .
So that,
Sin of <DCB = Sin
= 0.8
Sin of <DCB = 0.8
A. from 67.86 all the way to the end. (67.86 is not filled)
b. $67.86,
$80.00,
$70.00(values equal to or greater than $67.86.)
c. There are many values that represent this inequality.(values equal to or greater than $67.86)
Hope this helped☺☺
Answer: 10mm
Step-by-step explanation: You are going to use the "Pythagorean Theorem" method.
Step 1 :
Equation : a^2+b^2=c^2
plug in your data to the equation given. Then simplify and add.
6^2+8^2=C^2
simplify : 36 + 64 = C^2
simplify : 100 = C^2
Step 2 :
Find what goes into 100 evenly.
100 = 10^2 = (10)(10) = C^2
Step 3:
Find the square root of 10^2 = C^2
10 = c
Last Step :
The length of the unknown leg in the right triangle is 10mm
YAY!!!! you're finished! I hope I explained this so it was easy for you to understand.
