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Illusion [34]
3 years ago
13

When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?

Mathematics
1 answer:
Fantom [35]3 years ago
5 0
Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.  
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

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Inessa [10]
Ten thousands

if you're speaking of place value?
6 0
3 years ago
Read 2 more answers
What is ∑n=15[5(−2)n−1] equal to?
kicyunya [14]

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

6 0
2 years ago
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. Wh
alexgriva [62]

The distribution of the pants and the shirts illustrates probability

The probability that he winds up wearing the white shirt and tan pants is 1/8

<h3>How to determine the probability?</h3>

The number of shirts is given as:

Shirts = 4

The number of pants is given as:

Pants = 2

The probability that he winds up wearing the white shirt and tan pants is then calculated as:

P = P(White shirt) * P(tan pant)

This gives

P = 1/4 * 1/2

Evaluate the product

P = 1/8

Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8

Read more about probability at:

brainly.com/question/251701

5 0
2 years ago
Help is needed please!
Schach [20]

The distance travelled is 10 m

The velocity gained at the end of the time is 2 m/s

<h3>Motion</h3>

From the question, we are to determine distance travelled and the velocity gained

From one of the equations of motion for <u>linear motion</u>, we have that

S = ut + 1/2at²

Where S is the distance

u is the initial velocity

t is the time taken

and a is the acceleration

First, we will calculate the acceleration

Using the formula,

F = ma

Where F is the force

m is the mass

and a is the acceleration

∴ a = F/m

Where F is the force

and a is the acceleration

From the given information,

F = 50 N

m = 250 kg

Putting the parameters into the equation,

a =  50/250

a = 0.2 m/s²

Thus,

From the information,

u = 0 m/s (Since the object was initially at rest)

t = 10 s

S = 0(t) + 1/2(0.2)(10)²

S = 10 m

Hence, the distance travelled is 10 m

For the velocity

Using the formula,

v = u + at

Where v is the velocity

v = 0 + 0.2×10

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Hence, the velocity gained at the end of the time is 2 m/s

Learn more on Motion here: brainly.com/question/10962624

#SPJ1

7 0
2 years ago
Use the Quadratic formula to find all real zeros of the 2nd degree polynomial
schepotkina [342]

Answer:

  x ∈ {-5, -1}

Step-by-step explanation:

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The real zeros are -5 and -1.

_____

There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.

Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.

4 0
3 years ago
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