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:
I think its -12. If you apply y2-y1/ x2-x1 to the equation.
Answer:
r(14) = 29
Step-by-step explanation:
r(x) = 3/2x+8
r(14) = 3/2*14+8 = 21+8 = 29
Answer:
Step-by-step explanation:
y = - 
x + 3 ( equation of line t )
y - (- 2) = - [ x - (- 2)] ⇒ y = - x - 
( equation of line u )
Answer:
about 8 cm
Step-by-step explanation:
The formula for the area of a regular polygon is ...
A = 1/2Pa . . . . where P is the perimeter and "a" is the apothem, the distance from the center to a side
Filling in your numbers, we have ...
20 cm^2 = (1/2)P(5 cm)
Dividing by the coefficient of P, we find ...
2×(20 cm^2)/(5 cm) = P = 8 cm
The perimeter of the pentagon is about 8 cm.
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<em>Comment on the problem</em>
This calculation makes use of the area formula, as apparently intended. A regular pentagon with an apothem of about 5 cm will have an area of about 90.8 cm^2. The given geometry is impossible, as the pentagon is nearly 10 cm across. It cannot have a perimeter of only 8 cm.
