To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
Answer:
Correct answer is
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is <em>14m</em>.
<em>Side of base</em> = <em>10m
</em>
Height of Triangular base = <em>8.7m</em>
Formula for <em>surface area of triangular pyramid</em>:
![\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20%3D%20Area%20of%20Triangular%20base%20%2B%203%20%7D%5Ctimes%5Ctext%7BArea%20of%20side%20triangle%7D)
(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,
![\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20a%20triangle%20%3D%20%7D%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Ctext%7BBase%7D%20%5Ctimes%20%5Ctext%7BHeight%7D)
![\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BRequired%20Surface%20Area%20%3D%20%7D%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%208.7%20%5Ctimes%2010%20%2B%203%20%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%2014%20%5Ctimes%2010%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%2887%20%2B%203%20%5Ctimes%20140%29%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%2887%20%2B%20420%29%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20507%5C%5C%24%5Capprox%24%20254%20m%5E%7B2%7D)
Hence correct answer is
.
Answer:
answer 16 teacher gets 8.43
answer for pet store: 263.44
Step-by-step explanation:
take 3.25 multiply by 3.56 now you get 11.57
20 - 11.57 is 8.43
pet store part time:
take 10.24 multiply it by 22.25 = 227.84
take 1.60 multiply it by 22.25 = 35.6
add 227.84 and 35.6 you get 263.44
Answer:
56 - 6√12
Step-by-step explanation:
If s = side length = √2 - 3√6, then:
A = area of square = s² = (√2 - 3√6)²
= (√2 - 3√6)(√2 - 3√6)
= 2 - 3√12 - 3√12 + 9(6)
= 2 - 6√12 + 54, or
= 56 - 6√12 is the area of the square.
Answer:
$87025
Step-by-step explanation:
Net worth is assests minus liabilities