Can someone help me with this please ?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

6 0

If the triangle is a right triangle, then

   (3x)² + x² = (10)² .

   9x² + x² = 100

   10x² = 100

   x² = 10

   x = √10 = approx. 3.1622...

If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.

' x ' has to be greater than 2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .

So, if 2.5 < x < √10 , then there is a triangle, and it's obtuse.

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3 years ago

In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa

belka [17]

9514 1404 393

Answer:

9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

tan(α) = 500/3000 = 1/6

α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

_____

<em>Additional comment</em>

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

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3 years ago

Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.

kaheart [24]

Answer:

-0.663

Step-by-step explanation:

-38/180 × pi = -0.6632251158

3 0

3 years ago

Read 2 more answers

Please help!!!