Answer:
The speed in of the plane is 115.47 m/sec
Step-by-step explanation:
Given:
Height at which the plane is flying = 6000 m
Angle of elevation at the radar base = 30 Degrees
Angle of elevation at the radar base after one minute = 60 Degrees
To Find:
The Speed of the plane in meter per second = ?
Solution:
Let us use the tangent of the angle to find the distance (d) to a point directly below plane:
<u>when the angle is 30 degrees</u>



d1 = 10392.3 meters
<u>when the angle is 60 degrees</u>



d2 = 3464.1 meters
<u>distance travelled by aircraft in 1 min is </u>
=>d1 - d2
=>0392.3 - 3464.1
= 6928.2 m/min
<u>Now converting to m/sec</u>
=>
=>115.47 m/sec
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Ratio of sapphires to emeralds = 3:1
Let the number of sapphires be 3x.
Let the number of emeralds be 'x'.
According to question, if 6 emeralds are added, we get that

So, Number of sapphires = 3×3 = 9
Number of emeralds = 3
So, total emeralds would be 3+ 6 = 9.
Hence, option 'A' is correct.
Answer:
x = 61.6 degree
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 4.8 / 5.4
sin x = 0.88
x = 
x = 61.64
x = 61.6 degree
Answer: 25, 31 and 37
Step-by-step explanation:
(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37
(3n+1)= 19, 22, 25, 28, 31, 34, 37,
True. A binomial is a polynomial that is the sum of two terms.