Answer:
x = 10
Step-by-step explanation:
Since the triangles are similar the ratios of corresponding sides are equal
= 
, that is
= ( cross- multiply )
20(4x + 2) = 84x
80x + 40 = 84x ( subtract 80x from both sides )
40 = 4x ( divide both sides by 4 )
x = 10
54.5981500331 is the answer
Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
Answer:
its the second one lol its just asking you to pick the one less than a and a is 0.11 so it would be 0.0019
Step-by-step explanation:
Let the position of the airport be A, the point 160 miles north be B, and the point 85 miles east of that (i.e. the location of the plane) be C. Then ABC forms a right-angled triangle.
<span>tan BAC = 85/160 </span>
<span>BAC = arctan (85/160) </span>
<span>= arctan 0.531 (approx.) </span>
<span>= 27.98° (approx.) </span>
<span>So C is N 27.98° E from A. </span>
<span>The plane should fly S 27.98° W to get to the airport.
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