Answer:
To the nearest tenth, the height of the balloon is 2.9 miles
Step-by-step explanation:
The nearer point takes the greater angle of elevation.
The diagram is shown in the attachment.
The height of the balloon above the ground is c unit.
From triangle ABD,
[tex]\tan 42\degree=\frac{c}{x}[/tex]
[tex]\implies x=\frac{c}{\tan 42\degree}[/tex]...eqn1
From triangle ABC,
[tex]\tan 20\degree=\frac{c}{x+4.8}[/tex]
[tex]\implies x+4.8=\frac{c}{\tan 20\degree}[/tex]
[tex]\implies x=\frac{c}{\tan 20\degree}-4.8[/tex]..eqn2
We equate both equations and solve for c.
[tex]\frac{c}{\tan 42\degree}=\frac{c}{\tan 20\degree}-4.8[/tex]
[tex]\frac{c}{\tan 42\degree}-\frac{c}{\tan 20\degree}=-4.8[/tex]
[tex]\implies (\frac{1}{\tan 42\degree}-\frac{1}{\tan 20\degree})c=-4.8[/tex]
[tex]\implies -1.636864905c=-4.8[/tex]
[tex]\implies c=\frac{-4.8}{-1.636864905}[/tex]
[tex]c=2.932435039[/tex]
To the nearest tenth, the height of the balloon is 2.9 miles
Answer:
on usatestprep its 1.2
Step-by-step explanation:
