Answer:
26.68 ft
Step-by-step explanation:
Let a represent the distance from Kelsea to the bird and b be the distance from Landon to the bird.
Let x = angle of the bird. Hence:
x + 45 + 20 = 180 (sum of angles in a triangle)
x + 65 = 180
x = 180 - 65
x = 115°
Using sine rule:
Let h = height of the bird to the ground. Since a right angle is formed. hence:
From the given info (and the linked question) we find
Then using the angle-sum identity for cosine, we have
Look at the picture.
We have the right triangle x, y and r. From the Pythagorean theorem we have:
We have the point
Substitute:
The perimeter of a polygon is the sum of the lengths of all its sides. A rectangle has 4 sides, and opposite sides are congruent, so 2 sides have length x + 5, and 2 sides have length 11. Add all the lengths and set the sum equal to 50. Then solve the equation for x.
x + 5 + x + 5 + 11 + 11 = 50
2x + 32 = 50
2x = 18
x = 9
Answer: x = 9