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babunello [35]
3 years ago
6

An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

ne must ascend to clear the pole.

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

2.3 degrees.      

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.  

tan(\theta)=\frac{60}{1500}    

\theta=\tan^{-1}(\frac{60}{1500} )

\theta=\tan^{-1}(0.04)

\theta=2.290610042639

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

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True or False? For any integer m, 6m(2m + 10) is divisible by 4. Explain
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Ezra drew a scale drawing of a house and its lot. The deck is 90 inches wide in the drawing.
NARA [144]

Answer:

a). Scale: 1 inch:0.4 feet

b). actual measurement=24 feet

Step-by-step explanation:

a).

Step 1

We know that;

1 foot=12 inch

Step 2

Convert 36 feet to inches as follows

If 1 foot=12 inches, then 36 feet converted to inches will be;

(36×12)=432 inches

actual measurement=432 inches

Step 3

We can express the relation ship between the drawing measurement and the actual measurement as follows;

Actual measurement=scale factor×drawing measurement

where;

actual measurement=432 inches

drawing measurement=90 inches

scale factor=s

replacing;

432=s×90

90 s=432

s=432/90

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Meaning in order to convert a drawing measurement in inches to the actual measurement in inches, we multiply the drawing measurement by a scale factor of 4.8. This implies;

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replacing;

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