pandassayhi2
contestada

The angle of depression from D to F measures 10°. If DE = 300 m, find DF. Round your answer to the nearest tenth.


304.6 m


1,910.2 m


1,727.6 m


1,701.4 m

Respuesta :

russelldemara
The solution to the problem is as follows:
sin(10 deg) = 300/DF 

DF = 300/sin(10 deg) = 1727.63 meters

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Hope this helps

Answer:

Option C) 1727.6 m

Step-by-step explanation:

Given that the angle of depression from D to F measures 10°.

Also given that DE =300 m.

Since 10 is angle of depression, we can visualize a right triangle with hypotenuse DF=300 m and EF, DE two legs.

In the right triangle DEF, the angle opposite 10 is the side DE[tex]\frac{DF}{DE} =\frac{hypotenuse}{opposite side}= cosec 10\\\\DF =300 cosec 10 = 1727.6 m[/tex]

by Using trignometric ratios

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