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sveticcg [70]
4 years ago
15

Find m<1 if <1 is complementary to <2,<2 is supplementary to <3,and m<3=126

Mathematics
1 answer:
Lady_Fox [76]4 years ago
8 0

Answer:

36

Step-by-step explanation:

180-126=54 Since two angles are supplimentary if they both add up to 180, and 90-54=36 since two angles are complementary if they add up to 90.

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What is the value of x?
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A new airport is in its planning phase. One particular challenge is that there are several tall buildings in the vicinity. In pa
mixer [17]

Answer:

<em>Could an airplane take off and clear this tall building?  YES</em>

Step-by-step explanation:

<u>Trigonometry</u>

The building and the ground form a right (90°) angle. The path of the airplane (assumed a straight line) completes the right triangle.

The takeoff angle of the plane θ=15° has the height of the building (450 feet) as the opposite side and the horizontal distance from the end of the runway (2500 feet) as the adjacent side.

The tangent of θ is defined as the following ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan \theta=\frac{450}{2500}

\displaystyle \tan \theta=0.18

Calculating the inverse tangent function:

\theta=\arctan 0.18

\theta\approx 10^\circ

This means the angle needed to clear the tall building is about 10° and it's within the maximum airplane's takeoff angle.

Could an airplane take off and clear this tall building?  YES

8 0
3 years ago
Does anybody know how to do number 2?? I’m really struggling with how I’m supposed to draw it out and sketch it .
pickupchik [31]

Answer:

Look at link

Step-by-step explanation:

https://imgur.com/a/g8FLPcn

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