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Kazeer [188]
3 years ago
10

PLEASE HELP 50 POINTS WILL MARK BRAINLIEST. find the value of x rounded to the nearest tenth.

Mathematics
2 answers:
malfutka [58]3 years ago
8 0

Answer:

x = 21.44506921

Step-by-step explanation:

Trigonometry

We need to find x or the adjacent

We are given the Opposite ( 10 )

We don't need the hypotenuse

So we use our formula triangles

TOA             SOH                  CAH

Since we don't need the hypotenuse, we look for a formula without ' H ' in it and it is TOA so we use it

Tan = Opposite ÷ Adjacent

We need to find the adjacent so we rearrange the formula into

Adjacent = Opposite ÷ Tan

Adjacent = 10 ÷ tan(25)

Adjacent = 21.44506921

pentagon [3]3 years ago
3 0

For this case we must find the value of "x", by trigonometric relations.

The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.

tg (25) = \frac {10} {x}\\x = \frac {10} {tg (25)}\\x = \frac {10} {0.46630766}\\x = 21.4450691202

Rounding:

x = 21.4

Answer:

21.4

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The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte
Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

  • If the given point is (x , y), then the angle lies in the 1st quadrant
  • If the given point is (-x , y), then the angle lies in the 2nd quadrant
  • If the given point is (-x , -y), then the angle lies in the 3rd quadrant
  • If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

   triangle whose horizontal leg is 15 units and vertical leg

   is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = \sqrt{(15)^{2}+(-8)^{2}}=17 units

∵ sinФ = \frac{opposite}{hypotenuse}

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = \frac{-8}{17}

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0
2 years ago
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