Answer:
619.13 feet
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between doghouse to the foot of the tower.
We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.
First of all, we will convert our given angle into degrees as it is given in degrees and minutes.
We will divide 8 by 60 to convert 8 minutes into degrees as:

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.





Upon rounding to nearest hundredth, we will get:

Therefore, the doghouse is 619.13 feet far from the foot of the tower.
Answer:
$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
now we multiply !
500 × 0.033 × 4 = 66 = $66.00
:D
Step-by-step explanation:
yes I well help you, the answer is 4,–3,–3
Calculating for slope:
y2-y1 = m(x2-x1)
7-2 = m(2-1)
m= 5
y=mx+b
y=5x+2
Answer:
The blue box is 38 cubic feet grater than the red box.
Step-by-step explanation:
Cuboid:
- It is a three dimensional shape.
- It has 6 faces.
- The surface area of a cuboid is = 2(lb+bh+lh), where l = length, b= width, h= height.
- The volume of a cuboid is = l×b×h
Given that,
Ben has two boxes.
The volume of the red box is 46 cubic feet.
The dimensions of the blue box is 7 feet by 4 feet by 3 feet.
The volume of the blue box is = length ×width × height
=(7×4×3) cubic feet
= 84 cubic feet
The blue box is (84-46) cubic feet =38 cubic feet grater than the red box.