A hot air balloon is to be attached to the ground using two support ropes. One support is attached on one side of the balloon at an angle of elevation of 42°. The other support is attached on the other side of the balloon at an angle of elevation of 50°. The distance between the two locations on the ground where the supports are attached is 40 m. How long is the rope that is attached at the 42°?
Answer:
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Answer:
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Step-by-step explanation:
X1 + x2 = 40 m
tan42 =y/l1
tan50 =y/l2
0.9 = y/x1
1.19= y/x2
0.9 l1 +1.19 l2 = 40
cos 42 = x1/l1
Cos 50 = x2/l2
0.74 = x1/l1
0.64 = x2/l2
x1 = 40 – x2
l1 =( 40-x2)/0.74
Calculate y = Height of Balloon
and l1
Assuming size of balloon negligible