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Aleonysh [2.5K]
3 years ago
7

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the su

n's rays and the ground?

Mathematics
1 answer:
BabaBlast [244]3 years ago
8 0

Answer:

The angle is 50.2°.

Step-by-step explanation:

The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.

Therefore the angle θ formed by the sun's rays and the ground is:

\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}

You might be interested in
1.)
VashaNatasha [74]

Answer:

1. z = -15

2. p = 7

3. h = -11

4. t = 14

5. q = 12

Step-by-step explanation:

1.

\frac{z}{-5}+1=4

Add -1 both sides,

\frac{z}{-5}+1-1=4-1\\\frac{z}{-5}=3

Multiply both sides by -5,

\frac{z}{-5}\times-5=3\times-5\\z=-15

2.

Distribute 3 in p+2 and then add -6p and -6 both sides.

3(p+2)=6p-15\\3\times p+3\times2 = 6p-15\\3p+6=6p-15\\3p-6p=-15-6\\-3p=-21\\p=\frac{-21}{-3}=7

3.

\frac{h-7}{2}=3(h+8)

Multiply both sides by 2,

\frac{h-7}{2}\times2=3(h+8)\times2\\h-7=6(h+8)\\h-7=6h+48

Add -6h and 7 both sides,

h-6h-7+7=6h-6h+48+7\\-5h=55\\h=\frac{55}{-5}\\h=-11

4.

4t+2-5=3(t+7)-9\\4t-3=3t+21-9\\4t-3=3t+12

Add -3t and 3 both sides.

4t-3t-3+3=3t-3t+12+3\\t=15

5.

2(q-4)=4(q-8)\\2q-8=4q-32

Add -2q and 8 both sides.

2q-8-4q+8=4q-4q-32+8\\-2q=-24\\q=\frac{-24}{-2}\\q=12

Therefore,

1. z = -15

2. p = 7

3. h = -11

4. t = 14

5. q = 12

4 0
4 years ago
What is parallel line and perpendicular line give real life example with neat figure​
fgiga [73]

Greetings!

What is parallel line and perpendicular line? Give real life example with neat figure.

  • Parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.

  • Perpendicular means "at right angles". A line meeting another at a right angle, or 90° is said to be perpendicular to it.

5 0
2 years ago
Simplify this equation
Dmitry_Shevchenko [17]
100^2/3
=³√1000^2
=³√1000000
Cube root the answer
³√1000000
=100. As a result, B is the correct answer. Hope it help!
7 0
3 years ago
Read 2 more answers
Which expression has a value of −24?
NemiM [27]
(-48)+24

-48
+ 24
____
-24
8 0
3 years ago
How do I create and graph equations in two variables?​
Gemiola [76]

When you have an equation with two variables, it's easier to graph it in the form y=mx+b. b is the y-intercept - the x-value at which y is equal to zero, and m is the slope of the graph.

So if I have the equation 3x+2y=12, I have to first subtract 3x from both sides.

2y=-3x+12. Now I have to divide the whole thing by 2 to get my y value alone. y=-3/2x+6.

Now, to graph it, I have to first plot the point where y equals zero and x equals six. Then you plug in different numbers above and below this. When x=5, you get y=-3/2*5 + 6 which is -1.5. So you have the point (5, -1.5) and also the point (6, 0). You can plug in 0 for y and solve for x to find the x-intercept, or when x=0. 0=-3/2x+6. Subtract six from both sides. -6=-3/2x. Divide both sides by -3/2. 4=x. So you have another point - (4,0).

Now that you have three points, you can connect them with a line and add arrows to the end.

Hope I helped!

3 0
3 years ago
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