All categories

3 years ago

PLEASE HELP ME PRETTY PLEASE

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

The approximate height of the tree is 4.6 m

Step-by-step explanation:

Distance between the base of tree and arborist = 8 m

So, Base = 8 m

The angle of elevation to one tree is 30°

We are supposed to find What is the approximate height of the tree?

Using trigonometric property:

$tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ}=\frac{Height}{8}\\\frac{1}{\sqrt{3}}=\frac{Height}{8}\\\frac{8}{\sqrt{3}}=Height\\4.618=Height$

So, the approximate height of the tree is 4.6 m

You might be interested in

Consider this right triangle. 21 29 20 Enter the ratio equivalent to s

AleksAgata [21]

Answer:

Part 1) $sin(B)=\frac{21}{29}$

Part 2) $csc(A)=\frac{29}{20}$

Part 3) $cot(A)=\frac{21}{20}$

Step-by-step explanation:

The complete question is

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(B)=\frac{21}{29}$

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

$csc(A)=\frac{1}{sin(A)}$

$sin(A)=\frac{BC}{AB}$ -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(A)=\frac{20}{29}$

therefore

$csc(A)=\frac{29}{20}$

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

$cot(A)=\frac{1}{tan(A)}$

$tan(A)=\frac{BC}{AC}$ -----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{20}{21}$

therefore

$cot(A)=\frac{21}{20}$

4 0

3 years ago

Use the graph of the line to answer the questions.

Delvig [45]

Answer:

idk

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Click to select the figure in the image that would portray the rotation of the given pre image and the rotation arrow. The first

sashaice [31]

Answer:

its a

Step-by-step explanation:

7 0

3 years ago

What is the definition of present value?

Bezzdna [24]

Answer:

the value in the present of a sum of money, in contrast to some future value it will have when it has been invested at compound interest.

Step-by-step explanation:

6 0

3 years ago

A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 5

Blababa [14]

Answer:

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Step-by-step explanation:

Step(i):-

Given mean of the Population = 500

Given standard deviation of the Population = 50

Let 'X' be the random variable in normal distribution

Given X = 600

$Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2$

Step(ii):-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = P(z≥2)

= 0.5 - A(2)

= 0.5 -0.4772

= 0.0228

Final answer:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

5 0

2 years ago