Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.
Hi there!
Since the digit 5 is in the thousandths place, the answer is 0.005.
Hope this helps!
Answer:

Step-by-step explanation:
Given



Find the length of HG
First, it should be noted that the displayed figure is a trapezium
<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>
In this case;

Substitute the values of Area, HE and EF


Divide both sides by 4


Subtract 12 from both sides



<em>Hence, the length of HG is 5mm</em>
Answer:
(-3,1)
Step-by-step explanation: