MakylaF758246 MakylaF758246
  • 03-11-2022
  • Mathematics
contestada

in rst the measure of ∠J=90° the measure of ∠H=69° and Hl=88 feet. find the length of JH to the nearest tenth of a foot

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HarlieU686763 HarlieU686763
  • 03-11-2022

From the information provided, we can construct the following triangle;

The measure of angle J is 90 degrees, the measure of angle H is 69 degrees and line HI measures 88 feet. Therefore to calculate line JH;

[tex]\begin{gathered} \cos \theta=\frac{adj}{hyp} \\ \cos 69=\frac{JH}{88} \\ \text{Cross multiply and you'll have;} \\ 88\times\cos 69=JH \\ 88\times0.35836794\ldots=JH \\ 31.5363\ldots=JH \\ JH\approx31.5ft \end{gathered}[/tex]

The answer is 31.5 feet (rounded to the nearest tenth of a foot

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