A building that is 100 for tall casts a shadow that makes a 30 degree angle. Approximately how long in feet is the shadow across the ground?

Answers

Answer 1

Answer:

Answer: 173.20 ft

Step-by-step explanation:

Observe the attached image. To know how long the shadow is, we must find the length of the adjacent side in the triangle shown. Where the opposite side represents the height of the building

By definition, the function $tan (x)$ is defined as

$tan(x) = (opposite)/(adjacent)$

$opposite = 100\ feet\nx=30\°$

$adjacent = l$

Then

$tan(30\°) = (100)/(l)$

$l = (100)/(tan(30\°))$

$l = 173.20\ ft$

Answer 2

Answer:

Hello!

The answer is:

The shadow is 173.20 feet

Why?

To solve the problem, we need to calculate the projection of the building's shadow over the ground.

We already know the height of the building (100 feet), also, we know the angle of elevation (30°), so, we can use the following formula to calculate it:

$Tan(\alpha)=(y)/(x)=(height)/(x)\n\nx=(height)/(Tan(\alpha) )$

Now, substituting the given information and calculating, we have:

$x=(height)/(Tan(\alpha) )$

$x=(100feet)/(Tan(30\°) )=173.20feet$

Have a nice day!

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What is the nth term to: 0,6,14,24,36,50

Answers

0, 6, 14, 24, 36, 50, 66, 84,104

you add 9 times for each one

This is the sequence; +6,+8,+10,+12,+14

Now to find the next terms you must add 2 only to the sequence;

+6, +8, +10, +12, +14, +16,

Then add the +16 to the term and you get: (50 + 16) =66

so 66 is the 7th term and to get the 9nth you must do same steps;

+6,+8,+10,+12,+14,+16,+18,+20:

66+18 = 84 (8th term)

84 +20= 104 (9nth term)

So your final terms are;

0, 6, 14, 24, 36, 50, 66, 84,104

49 is 35% of what number? Use percent equation

Answers

Answer:

140

Step-by-step explanation:

x0.35 = 49

49/0.35 = 140

Rationalize the denominator and simplify- $( √(6) )/( √(3) - √(2) )$

Answers

$( √(6) )/( √(3) - √(2) ) =\n (\sqrt6(\sqrt3+\sqrt2))/(3-2)=\n (√(18)+√(12))/(1)=\n 3\sqrt2+2\sqrt3$

Use compatible numbers to estimate the following:
15.7 ÷ 3.2 =

Answers

5 because the answer 4.90625 is rounded to 5

15.7=1053.2=6So the answer is 35/2=17.5

Find x in this right triangle

Answers

Since the triangle is right angled, we may use pythagoras theorem to find the third side.

Pythagoras theorem :-

KI^2 + JI^2 = KJ^2

substituting the known values in the formula,

x^2 + 3^2 = 5^2

x^2 + 9 = 25

x^2 = 25 - 9

x^2 = 16

x = √16

x = 4

______________________

•°• value of x is 4cm

How do you solve for x in x^2+5x=36

Answers

First we want to set the equation equal to zero by subtracting 36 from each side...

x^2 + 5x -36 = 0

Now we factor

(x + 9)(x - 4) = 0

Now set each expression equal to zero and solve...

x + 9 = 0 x - 4 = 0
x = -9 x = 4

Your solution set is

(-9, 4)

Answer: (-9,4)

Step-by-step explanation: First, we set the equation equal to zero by subtracting 36 from both sides to get x² + 5x - 36 = 0.

Next, we factor the left side of the equation

as the product of two binomials.

Since the factors of -36 that add to +5 are +9 and -4,

we have (x + 9)(x - 4) = 0.

This means that either x + 9 = 0 or x - 4 = 0.

Solving each equation from here,

we have x = -9 or x = +4.

So your solution set is (-9,4).

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