The angle of elevation from Tammy to the helicopter is 12 degrees. Tammy and Rusty are 700 meters apart. If Tammy is 400 meters from the helicopter, find the distance from Rusty to the helicopter. Round the answer to the nearest whole meter.

A.146 meters
B.320 meters
C.574 meters
D.806 meters

Question

The angle of elevation from Tammy to the helicopter is 12 degrees. Tammy and Rusty are 700 meters apart. If Tammy is 400 meters from the helicopter, find the distance from Rusty to the helicopter. Round the answer to the nearest whole meter.

A.146 meters
B.320 meters
C.574 meters
D.806 meters

paxpolaris · Answer

|dw:1416552242870:dw|

Do these positions make sense

poetryprincess · Answer

yes

paxpolaris · Answer

we nee to find HR...
|dw:1416552516506:dw|

let's first find HX and TX

paxpolaris · Answer

$$HX=400 \sin(12°)=83.16m$$
$$TX=400 \cos(12°)=391.26m$$

paxpolaris · Answer

do you follow?

paxpolaris · Answer

next, $TR=700-391.26 = 308.74$ m

and now finding HR just requires the Pythagorean theorem|dw:1416553284525:dw|