Question 1173655
*[illustration 20210124a.jpg]
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Based on the information given, I have set up the problem.
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Use the Law of Sines on the left triangle to find 'a':
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{{{a/sin 22}}} = {{{700/sin 16}}}
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{{{a/0.3746}}} = {{{700/0.2756}}}
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{{{0.2756a}}} = {{{700(0.3746)}}}
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{{{0.2756a}}} = {{{262.22}}}
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a = 951.45
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Use the Law of Sines on the right triangle to find 'x':
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{{{x/sin 38}}} = {{{951.45/sin 90}}}
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{{{x/0.6157}}} = {{{951.45/1}}}
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{{{x}}} = {{{951.45(0.6157)}}}
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x = 585.81
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<b>The height of the hill is 585.81 metres.</b>