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Free_Kalibri [48]
3 years ago
15

14-(x+5)=3(x+9)-10 please help quick and show work!

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

x=-2

Step-by-step explanation:

14-(x+5)=3(x+9)-10

14-x-5=3x+27-10

14-5-x=3x+17

     +x  +x

9=4x+17

-17    -17

4x=-8

4x/4=-8/4

x=-2

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Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

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TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

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