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2 years ago

Find the angle of elevation of the sun when a 12.5 meter tall telephone pole casts an 18 meter

1 answer:

3 0

To answer this problem, you should know the formula that we will be using and this would be:
Angle of elevation = arc tan( (vertical height)/(length of the shadow)).

Plugging in the values in the formula. Here, this angle is:

arc tan (12.5/18) = <span>34.78 degrees</span>

The answer would be approximately 34.78 degrees

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The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the

babunello [35]

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

6 0

2 years ago

Please help me understand and solve this

ss7ja [257]

Step-by-step explanation:

just multiple them and you'll get the results and the results you got add them together

7 0

2 years ago

I REALLY NEED HELP!

Snowcat [4.5K]

Answer:

Step-by-step explanation:

The compound interest formula is $A = P (1+r/n)^nt$ where:

P is the starting amount called the principle
r is the rat written as a decimal
n is the number of times compounded in a year
t is the number of years

Substitute a value into each variable to solve.

P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.

The rate is 3.5% or r = 0.035.
n = 12 because it is compounded monthly meaning 12 times a year.
t = 25 since it will earn for 25 years.

$A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19$

Repeat this process for each formula.

5 0

3 years ago

In the diagram above

Reil [10]

Answer:

Step-by-step explanation:

We have parallel lines.

Angles 1 and 2 are alternate angles.

With parallel lines, alternate angles are congruent.

Therefore

$m\angle1=m\angle2$

$m\angle1=2x+20,\ m\angle2=3x+10\\\\2x+20=3x+10\qquad\text{subtract 20 from both sides}\\\\2x+20-20=3x+10-20\\\\2x=3x-10\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\2x-3x=3x-3x-10\\\\-x=-10\qquad\text{change the signs}\\\\x=10\\\\m\angle1=2(10)+20=20+20=40$