When the angle of elevation of the sun is 58 degree the shadow cast by a tree is 28ft. long. How tall is the tree?

Question

anonymous · Answer

what grade are you in

ammarah · Answer

@triciaal

compassionate · Answer

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Remember SOHCAHTOA

anonymous · Answer

If the angle of inclination is 30 degrees and the length of the shadow is 12 ft, from this relation we can see that tan30=height of tree/length of shadow Height of tree = tan30*length of shadow = 6.93ft approximat…

compassionate · Answer

$$\tan(x) = \frac{ opposite }{ adjacent }$$

ammarah · Answer

so the answer would be 44.8

compassionate · Answer

$$\tan(58) = \frac{ x }{ 28 }$$
$$\tan (1.6003345290410503553267330811834) = \frac{ x }{ 28 } \times \frac{ 28 }{ x }$$ $$\tan(1.6003345290410503553267330811834) \times 28 = x$$$$x = 44.8093668131, ~~~ x = 44.8$$

compassionate · Answer

You did a great job!