Part A; The plane will have to travel 70.61 km to fly over the first tower
Part B; The plane will have to travel 5.28 km to fly over the second tower
Step-by-step explanation:
Step 1; Assume the plane is x km away from the control tower. We know it is flying at a height of 3.7 km and an angle of depression of 3°. So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 3.7 kilometers while the opposite side measures x kilometers. The angle of the triangle is 3°
Step 2; Since we have the length of the opposite side and the angle of the triangle, we can determine the tan of an unknown angle.
tan 3°= 
, x = 
, tan 3° = 0.0524,
x = 70.6106 kilometers.
So the plane must travel 70.61 km to fly over the first tower.
Step 3; Assume the plane is y km away from the control tower. We know it is flying at a height of 3.7 km and an angle of depression of 35°. So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 3.7 kilometers while the opposite side measures y kilometers. The angle of the triangle is 35°
Step 4; Since we have the length of the opposite side and the angle of the triangle, we can determine the tan of an unknown angle.
tan 35°= 
, y = 
, tan 35° = 0.7002,
y = 5.2842 kilometers.
So the plane must travel 5.28 km to fly over the second tower.
Answer:
E A F
Step-by-step explanation:
Answer:
Let's say that someone was building a yard.
(I tired to make this all connected.)
For Part 1) He wants to put his fence around the yard. If it's a rectangle measuring 45 * 32 ft, he would have to find the perimeter of the rectangle so he could install the correct amount of fences. The perimeter is the measurement 'around' a shape.
For area (part 2), if he wanted to know how much he was able to put stuff inside, he would have to find the area of the rectangle. The area is the space occupied by a 2D shape.
Part 3: The person then wants to paint a box as a decoration. He has a small 3 * 3 *3 box. The person needs to find how much paint he needs to cover the box appropriately, or the surface area of the box. Surface area is the total measurement of the surface in a 3D figure.
Part 4: He then wants to put something in the box. He does not know how much can he fit in it, so he would have to find the volume of the box. The volume of a 3D figure is the measurement of how much it can 'fill' the shape.
Hope this helps.
Answer:
3 pieces left over
Step-by-step explanation:
Laurie has a total of 45 pieces of candy, if she has 6 friends, you can do
each friend can get 7 pieces of candy
if each friend gets 7 pieces, you have used 42 pieces out of you total 45
which leaves 3 pieces left over.
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