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Nonamiya [84]
2 years ago
7

Find y. Round to the nearest tenth: 290 500 ft y X y = [ ? ]ft

Mathematics
2 answers:
hjlf2 years ago
8 0

Answer:

  • y = 242.4
  • x = 437.3

First find the inner angle:

  • 90° - 29°
  • 61°

[ given hypotenuse = 500 ft ]

using sine rule:

\sf sin(x)= \dfrac{opposite}{hypotensue}

\hookrightarrow \sf sin(61)= \dfrac{x}{500}

\hookrightarrow \sf x=sin(61)*500

\hookrightarrow \sf x=437.3

using pythagoras theorem:

  • a² + b² = c²
  • y² + (437.3)² = 500²
  • y = √58760.1
  • y = 242.4
Harrizon [31]2 years ago
6 0

Answer:

y = 242.4 ft (nearest tenth)

Step-by-step explanation:

Using the <u>Alternate Interior Angle Theorem
</u>the angle opposite side y is 29°

Using the sine trig ratio:

\sf sin(\theta)=\dfrac{O}{H}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • H is the hypotenuse

Given:

  • \theta = 29°
  • O = y
  • H = 500 ft

Substitute given values and solve for y:

\sf \implies sin(29)=\dfrac{y}{500}

\sf \implies y=500sin(29)

\sf \implies y=242.2\:ft\:(nearest\:tenth)

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