00:01
In this problem we have given a blimp flies over a football field to spectators which are 150 yards apart.
00:10
So they are 150 yards apart.
00:14
See the blimp with an angle of elevation of 74 degrees and 81 degrees.
00:21
Now we have to find the height of blimp.
00:24
So here let's suppose this is the blimp and which is attaining height h.
00:30
Now this has been seen from the left corner and then the right corner.
00:36
So this would be spectator a, spectator b.
00:38
The distance between these two spectator is equal to 150 yards.
00:43
We do have angle of elevation.
00:45
So this would be equals to 74 degrees.
00:47
This would be equal to 81 degree.
00:50
Now we can say this would be a, b and we can say this is c and d.
00:55
Now h is common.
00:56
So we can use the trigonometry here.
00:59
So this would be.
01:00
Let's suppose this is x so this would be 150 minus x so this would be 150 minus x now 10 74 degree is equals to h divided with x and then second case this would be 10 81 degree is equals to h divided with 150 minus x now we can solve for h so here we can solve for so, this would be x multiplied with 1074 degree is equals to this would be 150 minus x multiplied with 1081 degrees.
01:38
Now we can solve for x.
01:40
So here this would be equals to.
01:43
And now we can take common x, so this would be 1074 degree and send this term to the left hand side so this would be plus also.
01:53
So plus 1081.
01:55
Is equals to this would be 150 multiplied with 1081 so from here we can say x is equals to 150 multiplied with 1081 so we know that 1081 is equals to 6 .313 is multiplied with 150 is equals to 947 so this would be 947 .07 .06 is divided with 1074 plus 181 so this would be 1074 is equals to 3 .484 plus we have 1081 is equals to 9 .801 adding these two terms together so 9 .801 is divided so 947 .06 is divided with 9 .801 is equals to 96 so we do have 96 .62.
03:00
So we do have the value of x is equals to 96 .62.
03:05
So this would be x is equals to 96 .62.
03:11
Now we can evaluate here this term.
03:13
So 10 74 degree is equals to h divided with x.
03:19
Now we can solve for h.
03:21
H is equal to x multiplied with 10.
03:24
Say this would be 10 74 degrees is equal.
03:27
Equals to say this would be 96 .62 multiplied with 1074 so 1074 degree we already know is equal to 3 .487 so 3 .487 is multiplied with 96 .62 is equals to 336...