Answer:
a.
b.
Step-by-step explanation:
a. The sides of an Equilateral triangle are all equal.
Then, in this case:
Based on this, you can identify that AD divides the side BC into two equal parts and the triangle into two equal Right triangles. Then:
Knowing the length CD, you can find "x" using the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case:
Substituting values and solving for "x", you get:
b. By definition, the measure of each interior angle of an Equilateral triangle is 60 degrees. Therefore:
Answer:
Amount of string let out by Jim will be 156.9 m.
Step-by-step explanation:
Distance between Jim and Patty = 200 m
Angle of elevation of the kite from Jim = 85°
Angle of elevation of the kite from Patty = 40°
Angle between the lines joining Jim and kite and Patty and the kite = 180° - (85 + 40)° = 55°
By applying Sine rule in the triangle formed by the kite, Jim and Patty,
x =
x = 156.94
≈ 156.9 m
Therefore, amount of string let out by Jim will be 156.9 m.