3 years ago

Angle LMP and angle PMN are complementary. Find the value of x.

1 answer:

7 0

x=15

Complementary means they add to make 90 degrees.
This means 2x+4x=90

2x+4x=90
combine like terms
6x=90
divide 6 from both sides
x=15

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Liono4ka [1.6K]

Answer:

Altitude of the jet is 10.40km

Step-by-step explanation:

The angle of elevation = 8°

Horizontal distance (adjacent to the angle) = 74km

Altitude of the plane (opposite) = ?

Kindly check attached document for better illustration.

To solve this question, we have to use tangent rule since we have adjacent and angle, but no opposite.

Tanθ = opposite / adjacent

θ = 8°

Adjacent = 74km

Opposite = ?

Tan 8 = x / 74

Opposite = 74 * tan8

Opposite = 10.40

The altitude of the jet is 10.40km

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