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a seesaw with the construction shown is being built at a playground. The seating board will be 8 feet long and the board will make an angle at 25 degrees when it touches the ground. Create and use a model to find the height of the central support (cr).Type out your work and explain your answer. Round your answer to the nearest tenth.

a seesaw with the construction shown is being built at a playground The seating board will be 8 feet long and the board will make an angle at 25 degrees when it class=

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MathPhys

Answer:

1.7 feet

Step-by-step explanation:

R is the midpoint of QS, so RS = 4 feet.

Using sine:

sin 25° = RT / 4

RT = 4 sin 25°

RT ≈ 1.7

akposevictor

Applying the trigonometry ratio, SOH, the height of the central support rounded to the nearest tenth is: 1.7 ft.

What is the Trigonometry Ratio?

In any right triangle given, any angle measure or leg of the right triangle can be found using the trigonometry ratios, SOH CAH TOA.

Thus, the model we would use is right triangle STR.

  • Reference angle (∅) = 25°
  • RS = 1/2 of QS
  • RS = 4 ft (hypotenuse)
  • Height of central support = RT (opposite).

Apply SOH:

sin 25 = opp/hyp

sin 25 = RT/4

RT = sin 25(4)

RT = 1.69 ft

Therefore, applying the trigonometry ratio, SOH, the height of the central support rounded to the nearest tenth is: 1.7 ft.

Learn more about trigonometry ratio on:

https://brainly.com/question/4326804

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