Answer:
Ф = 39.4 degrees
Step-by-step explanation:
The ratio 5.75 / 7 is the tangent of the angle of elevation. Using the inverse tangent function on a calculator returns Ф = 39.4 degrees.
Answer:
108 cm^2
Step-by-step explanation:
The lateral surface area of a pyramid is given as
LSA= 1/2×perimeter of the base×slant height
base is hexagon with side 3 cm , therefore, perimeter of the base
=6×3=18 cm
slant height = 12 cm
thus, LSA = 1/2×18×12 = 108 cm^2
Surface area is just the area of all these 4 triangles plus the rectangle.
First we can find the area of the rectangle.

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.


The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

Calculate the area:



We have two of these triangles.

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

Now find the area:



We have two of these triangles.

Add all the areas together:
Answer:
True
Step-by-step explanation:
We knwo this is true because a triangle angle theorem is that the sum of the angles in a triangle is equal to 180 degrees.
Since tri = 3 then,
=> 180/3 = 60
Equal = same --> def. of equilateral triangle
Thus, we know it is true that in an equilateral triangle, each angle is 60 degrees
Hope this helps!