What is the surface area?
1 answer:
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Answer:
1)
2)
3)
4)
Step-by-step explanation:
1) Since the whole angle is , and to find the other angle, which is labeled as
, you subtract
from
:
2) Since you already have two angle measures and
, you add them up and subtract it from
to get the angle measure for
:
3) Same thing from number 1. Subtract from
:
4) Same thing from number 2. Add and
and subtract it from
:
Answer:
407 mi/h
Step-by-step explanation:
Given:
Speed of plane (s) = 470 mi/h
Height of plane above radar station (h) = 1 mi
Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.
Consider a right angled triangle representing the above scenario.
We can see that, the height 'h' remains fixed as the plane is flying horizontally.
Speed of the plane is nothing but the rate of change of horizontal distance of plane. So,
Now, applying Pythagoras theorem to the triangle, we have:
Differentiating with respect to time 't', we get:
Now, when the plane is 2 miles away from radar station, then D = 2 mi
Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,
Now, plug in all the given values and solve for . This gives,
Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.
