Answer :
Answer:
The high is the blimp is 4065 meter.
Step-by-step explanation:
Given : A television camera on a blimp is focused on a football field with an angle of depression of 23.2°. A range finder on the blimp determines that the distance from the blimp to the field is 1740 m.
To find : How high is the blimp?
Solution :
Let x be the height in the blimp is the hypotenuse.
The angle of depression is [tex]\theta=23.2^\circ[/tex].
The distance from the blimp to the field is 1740 m is the opposite side.
Refer the attached figure below.
Using trigonometric ratios,
[tex]\tan \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
Substitute the value,
[tex]\tan 23.2=\frac{1740}{x}[/tex]
[tex]x=\frac{1740}{\tan 23.2}[/tex]
[tex]x=\frac{1740}{0.428}[/tex]
[tex]x=4065.42[/tex]
Therefore, the high is the blimp is 4065 meter.
