Hello!
We know that 1 minute = 60 seconds.
5 minutes = 300 seconds because 60 × 5 = 300
360 seconds would be 6 muinutes. 420 seconds would be 7 minutes. That means 480 seconds = 8 minutes, so 8 minutes have passed.
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.
Aprox 14.663
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Answer:
B) 77.5 square feet
Step-by-step explanation:
cut shape into rectangle and triangle
area of rectangle = x*y
area of rectangle = 5*13
area of rectangle = 65
area of triangle = (z-x)*(y-w)/2
area of triangle = 5*3/2
area of triangle = 7.5
Total area = 65 + 7.5
Total area = 77.5, B)