ProblemHudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40°. The kite
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check

The answers are not 80 and 83. I have tried that.

Answers

Answer 1

Answer:

The kite is approximately 83.35 feet above ground.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

Sin = opposite side / hypotenuse

Sin 40 = x/ 125

x = Sin 40 (125)

x = 125 (0.642)

x = 80.3

In order to find the height of kite off the ground, wewill add the height of Hudson to 80.35 feet as well as he is flying the kite.

80.3 + 3 = 83.3 ft tall

Hence, the kite is approximately 83.35 feet above ground.

Learn more about trigonometric;

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Answer 2

Answer:

Answer:

83.3 ft tall

Step-by-step explanation:

$sin(40) = (x)/(125) \nx = 125 * sin(40)\nx = 80.34845$

Round to 80.3 and add Hudson's height

80.3 + 3 = 83.3ft tall

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Y=3x-5
3y-12x=-6
Substitution method

Answers

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3x−5.
y=3x−5
3(3x−5)−12x=−6

Simplify each term.
y=3x−5
9x−15−12x=−6

Add 9x and −12x to get −3x.
y=3x−5
−3x−15=−6

move -15 to the right-hand side of the equation by adding 15 to both sides.
y=3x−5
−3x=15−6

Subtract 6 from 15 to get 9.
y=3x−5
−3x=9

Simplify

(−3,−14)

1y = 3x - 5 ⇒ 1y - 3x = - 5 ⇒ 3y + 9x = 15
3y - 12x = -6 ⇒ 3y - 12x =   6 ⇒ 3y - 12x = 6
       21x = 21
      21    21
   x = 1
      y - 3(1) = -5
          y - 3 = -5
   +3   +3
   y = 2
   (x, y) = (1, 2)

andrew says that in 15 years, the building he lives in will be twice as old as it was 7 years ago. how old is the building that andrew lives in?

Answers

Answer:

29 years old

Step-by-step explanation:

let the building current age be x

then in 15 years time the age of the building is x + 15

7 years ago the buildings age is x - 7 and twice as old is 2(x - 7)

equating the expressions

2(x - 7) = x + 15 ← distribute parenthesis on left side

2x - 14 = x + 15 ( subtract x from both sides )

x - 14 = 15 ( add 14 to both sides )

x = 29

the age of the building is 29 years

SOMEBODY PLEASE HELP ME. ANSWER THIS QUESTION RIGHT.Use the quadratic equation x^2+10x+38=4 to complete the following statement drag and drop an answer choice into the empty box below.