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The light from a lamp casts a shadow of a man standing 10 feet away from the lamppost. the shadow is 7 feet long. the angle of elevation from the tip of the shadow to the lamp is 50 degrees. to the nearest foot, the lamppost is ____ feet tall. 17 tan(50)=20.25981107 or 20.26 i am confused when it says round to the nearest foot is the answer 20.26 or 20 or 21 what would you put as the answer?

Verified Answer :

Answer:  Length of lamp Post will be 20.26 feet .

Step-by-step explanation:

Since we have given that

In ΔABC, we can apply "Trigonometric rule "

\(\tan\theta=\frac{AB}{BC}\\\\\tan50\textdegree=\frac{AB}{17}\\\\1.19=\frac{AB}{17}\\\\1.19\times 17=AB\\\\20.259=AB\\\\20.26=AB\)

So, Length of lamp Post will be 20.26 feet .


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The height of the lamp post to the nearest foot is 20 foot.

How to find the height of the lamp post?

The height of the lamp post can be found using trigonometric ratios.

Therefore,

tan 50  = opposite/ adjacent

opposite side = height of the lamp post

Hence,

tan 50 = x / 17

cross multiply

x = 17 tan 50

x = 17 × 1.19175359259

x = 20.2598110741

x = 20 ft

learn more on angle of elevation here: https://brainly.com/question/1768935

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