D = 25 ft is the length of a shadow. L - the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.
B and c are similar to eachother
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
If you would like to know how many gallons of paint will Henry need to paint his living room, you can calculate this using the following steps:
the ceiling: 24 ft * 18 ft = 432 ft squared
walls: 2 * 24 ft * 9 ft + 2 * 18 ft * 9 ft = 2 * 24 * 9 + 2 * 18 * 9 = 432 + 324 = 756 ft squared
432 ft squared + 756 ft squared = 1188 ft squared
1 gallon of paint ... 450 ft squared
x gallons of paint = ? ... 1188 ft squared
1 * 1188 = 450 * x
1188 = 450 * x /450
x = 1188 / 450
x = 2.64 gallons of paint
The correct result would be 2.64 gallons of paint.
