The perimeter of the triangle is: (9.5n - 11.6p - 3.5q) cm.
<h3>What is the Perimeter of a Triangle?</h3>
The total length of all the sides of a triangle is equal to the perimeter of the triangle.
Given a triangle has the following lengths:
- (2.9n-7.8p) centimeters,
- (6.6n-6.4q) centimeters,
- (2.9q-3.8p) centimeters.
The perimeter of the triangle = (2.9n-7.8p) + (6.6n-6.4q) + (2.9q-3.8p)
The perimeter of the triangle = 2.9n - 7.8p + 6.6n - 6.4q + 2.9q - 3.8p
Combine like terms together
The perimeter of the triangle = 2.9n + 6.6n - 7.8p - 3.8p - 6.4q + 2.9q
The perimeter of the triangle = 9.5n - 11.6p - 3.5q
Thus, the perimeter of the triangle is: (9.5n - 11.6p - 3.5q) cm.
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So the hypotenuse is 2.7, and the opposite is 1.6.
We can use sine to find the angle.
sin(x) = (1.6)/(2.7)
Simplify:
sin(x) = 0.592592593
Plug this in your calculator to find the inverse of sine:
x = 36.34120312
So the angle is 36 degrees.
Answer:
Height of the silo = 18 feet.
Step-by-step explanation:
From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.
Farmer is standing at 8 ft distance from the silo.
From triangle AEC,
tan(∠CAE) = 
= 
m(∠CAE) = 
= 32°
m∠BAE = 90° - 32° = 58°
From the triangle ABE,
tan58° = 
BE = 8tan58°
BE = 12.8 ft
Total height of the silo = BE + EC
= 12.8 + 5
= 17.8
≈ 18 ft
Therefore, total height of the silo is 18 ft.
