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Sagot :
Answer:
17.44 ft.
Step-by-step explanation:
Given,
The Distance of the hot air balloon: 110 ft
Change in elevation, [tex]\theta_1 = 25^0, \theta_2 = 32[/tex]
We know that,
[tex]\tan \theta = \dfrac{Perpendicular}{base}[/tex]
Now,
[tex]\tan \theta_1 = \dfrac{h_1}{110}[/tex]
[tex]\tan 25^0= \dfrac{h_1}{110}[/tex]
[tex]h_1 = 51.294\ ft[/tex]
[tex]\tan \theta_2= \dfrac{h_2}{110}[/tex]
[tex]\tan 32^0= \dfrac{h_2}{110}[/tex]
[tex]h_2 = 68.736\ ft[/tex]
Rise of balloon = 68.736 - 51.294
= 17.442 ft
= 17.44 ft
Hence, the rise of the balloon rise is 17.44 ft.
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