Answer:
64degrees
Step-by-step explanation:
Give the following
Height of tree H = 36feet
length of the shadow L = 40feeet
Requires
Angle of eleation
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin theta = H/L
Sin theta = 36/40
SIn theta = 0.9
theta = arcsin0.9
theta = 64.16
Hence the required angle is 64degrees
Answer: A variable is a letter that represents an unknown number.
Look how it is done and you will understand
Answer:
r = -189
Step-by-step explanation:
Let's make it easy,
-13=r/9+8
r/9 = -13-8
r/9 = -21
r = -21 × 9
r = -189
Let the side of the square base be x, and the height of the box be h.
<span>The material of the base is x^2, and the material of the four sides is 4xh. </span>
<span>4000 = hx^2 </span>
<span>h = 4000/x^2 </span>
<span>The total material is </span>
<span>M = x^2 + 4x(4000/x^2) = x^2 + 16000/x </span>
<span>Take the first derivative of M and set equal to 0. </span>
<span>M' = 2x - 16000/x^2 = 0 </span>
<span>Multiply by x^2: </span>
<span>2x^3 = 16000 </span>
<span>x^3 = 8000 </span>
<span>x = 20; h = 10; M = 1200</span>
