If you draw out a diagram of the situation, the height of the person is 5.5 feet, standing 25 feet away from the tree. then the person looks up at a 71 degree angle with the top of the tree, it should look like a right triangle on top of a rectangle.

We know the angle she's looking at (71 degrees) and the side adjacent to the angle (the distance she is away from the tree, 25 feet). Using tangent we can solve for the opposite side.

tan(71 degrees) = x ÷ 25
25 tan (71 degrees) = x
x is about 72.6 feet

that's the height from her eyes to the top of the tree.
To get the height of the tree you add how high above the ground her eyes are (5.5 feet) to x (72.6 feet)

72.6 + 5.5 = 78.1 feet

that should be the height of the tree

3 0

3 years ago

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the average annual income, /, in dollars, of a lawyer with an age of x years is modeled with with the following function: I=-425

krek1111 [17]

Answer:

26 years of age.

Step-by-step explanation:

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:

I = - 425x² + 45500x - 650000 .......... (1)

If the average annual income of the lawyer at the age of x years is $250000, then from the equation (1) we can write

- 425x² + 45500x - 650000 = 250000

⇒ - 425x² + 45500x - 900000 = 0

⇒ - 17x² + 1820x - 36000 = 0

Now, using the quadratic formula,

$x = \frac{- 1820 \pm \sqrt{(1820)^{2} - 4(-17)(- 36000) } }{2(- 17)} = \frac{-1820 + 929.73}{- 34} = 26$ years (Approximate)

{We have neglected the other root as we need the youngest age}(Answer)

4 0

4 years ago

which one of yu geniuses can answer this question ???

madreJ [45]

Answer:

B. 20

Step-by-step explanation:

x + 40 = 3x

x - x + 40 = 3x - x

40 = 2x

20 = x

3 0

3 years ago