Mr. Abraham is 36 years old. His wife is 6 years younger than him and their son is 24 years old younger than his wife. What is t
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Given:
A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.
To find:
The surface area of the pyramid to the nearest whole number.
Solution:
A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.
Area of a square is
So, area of square base is 100 sq. in.
Area of a triangle is
So, area of each triangular surface is 20 sq. in.
Now, the total surface area of the pyramid is
Total area = Area of square base + Area of 4 congruent triangles.
Therefore, the area of the pyramid is 180 sq. in.
Answer: approximately <u>188.07</u> feet
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Explanation:
Refer to the diagram below. Note that the 62 degree angle is from the fact that 90-28 = 62.
With the reference angle 62 degrees in mind, we have an unknown opposite side x feet and a known adjacent side 100 feet.
Use the tangent trig ratio to tie the two sides together, and then solve for x.
tan(angle) = opposite/adjacent
tan(62) = x/100
100*tan(62) = x
x = 100*tan(62)
x = 188.072646534633 approximately
x = 188.07 feet approximately
Your calculator needs to be in degree mode. One way to check is to compute something like tan(45) and the result should be 1.
