Answer :
98°
Step by step explanation :
As we can see in figure,
∠F = 53°
∠H = 45°
So,
[Angle sum property, which states that the sum of all the angles of a triangle is 180°]
=> ∠FGH + 45° + 53° = 180°
=> ∠FGH = 180° - 98°
=> 
Now,
∠x + ∠FGH = 180°
[linear pair]
=> ∠x = 180° - 82°
=> 
<h2><u>Alternative Method :</u></h2>
We know that sum of two opposite interior angles is equal to the exterior angle.
So
∠x = ∠GHF + ∠HFG.
=> ∠x = 45 ° + 53°
=>
Hope this helps!
A slope of -3 can be written as a fraction of -3 over 1.
In terms of rise over run, that means when we subtract 3 from y we add 1 to x.
So plot (1, 3), then go down 3 and over 1 and plot that point.
Make a line between them and you're done.
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Oar City because 45/9 = 5 and 27/3 = 9, 5 < 9.
If this is correct please give me Brainliest, thank you!
Answer:
The radius is 7.23units
Step-by-step explanation:
Check image below for solution
