# Find the height of the triangle g to the nearest

Find the height of the triangle g to the nearest tenth.

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May Dunn
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.