Find the height of the triangle g to the nearest

tapetivk 2021-11-23 Answered
Find the height of the triangle g to the nearest tenth.
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Expert Answer

May Dunn
Answered 2021-11-24 Author has 456 answers
Step 1
From the given data,
Consider the triangle ABD
Opposite side \(\displaystyle={g}\)
Hypotenuse \(\displaystyle{\left({c}\right)}={8.9}\)
\(\displaystyle\beta={63.5}^{{\circ}}\)
Step 2
We know that,
\(\displaystyle{{\sin{{63.5}}}^{{\circ}}=}{\frac{{{g}}}{{{8.9}}}}\)
\(\displaystyle{0.894934361}={\frac{{{g}}}{{{8.9}}}}\)
\(\displaystyle{g}={8.9}\times{0.894934361}\)
Therefore,
\(\displaystyle{g}={7.964915818}\) units.
Rounding off to the nearest tenth we have,
\(\displaystyle{g}={8.0}\) units is the required answer.
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