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Snezhnost [94]
3 years ago
11

(04.04 LC) Point P on the coordinate grid below shows the location of a stage light. A second stage light is 8 units above P. Th

e length of each square on the grid is 2 units. What are the coordinates of the location of the second stage light?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
The square 8 units is above the grid for stage. Coordinations was the location
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PLEASE HELP GIVING MANY POINTS!
NeTakaya

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

3 0
3 years ago
Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of
qaws [65]
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
3 0
3 years ago
A group of health care workers were asked how many times per week they visited a gym. The data is shown on the dot plot. Select
Yakvenalex [24]
the correct answer is B &/or D, hope this helped (:
7 0
3 years ago
Read 2 more answers
Can someone help me please, I will give brainliest as soon as my app allows!!
Delicious77 [7]

Answer:

x=75

Step-by-step explanation:

8 0
3 years ago
PLS HELP.!!!!!!!!!!!
Bezzdna [24]

Answer:

35040

Step-by-step explanation:

3.48(104)+0.24(103)

=35040

7 0
3 years ago
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