How tall is a building that casts a 73 foot shadow when the angle of elevation of the sun is 29
1 answer:
We use trigonometry for this problem. You might have learned about SOH CAH TOA. In right triangles, when given an angle, you can name the three sides of the triangle a certain part: Opposite, Adjacent, and Hypotenuse.
For this problem, we are given the angle and the ADJACENT length (73). We want to find the OPPOSITE side's length.
TOA
We must use the tangent function.
TOA helps us remember this relationship:
tan( theta ) = opposite / adjacent.
Plug in our values:
tan(29 degrees) = opposite / 73
Multiply by 73 to isolate "opposite" and solve for it.
73 * tan(29) = opposite.
Using a calculator, the answer is approximately 40.46 ft.
For this problem, we are given the angle and the ADJACENT length (73). We want to find the OPPOSITE side's length.
TOA
We must use the tangent function.
TOA helps us remember this relationship:
tan( theta ) = opposite / adjacent.
Plug in our values:
tan(29 degrees) = opposite / 73
Multiply by 73 to isolate "opposite" and solve for it.
73 * tan(29) = opposite.
Using a calculator, the answer is approximately 40.46 ft.
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( B) ∠OSN is the correct answer.
As we know two angles are Supplementary if sum of that two angles is 180° or they form a linear pair
The meaning of linear pair is that the two angles should be such that the non common arms should lie on opposite side of the common arm and at the point of intersection of two angles have the same vertex. Also the two non common arms should form a line.
SO IF ONE ∠ IS Ф° OTHER SHOULD BE 180-Ф°. FOR EXAMPLE ON ∠ IS 60° OTHER WILL BE 180-60°=120°
Supplement of
1.45°=135°
2.70°=110°
