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Bingel [31]
3 years ago
13

A man who is 5feet 9inches tall casts a shadow of 8feet 6inches. assuming that the man is perpendicular to the ground,what is th

e angle of elevation from the end of the shadow to the top of the man's head, to the nearest tenth of a degree?
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

The angle of elevation from the end of the shadow to the top of the man's head will be 34.077°.

<h3>What is a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

A man who is 5feet 9inches tall casts a shadow of 8feet 6inches.

Assuming that the man is perpendicular to the ground.

5 ft 9 in = 69 in

8 ft 6 in = 102 in

Then the angle of elevation from the end of the shadow to the top of the man's head will be

tan θ = 69/102

θ = tan ⁻¹ (0.676)

θ = 34.077°.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ1

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For what values of q are the two vectors A = i + j + kq each other and B-iq-23 + 2kg perpendicular to
Sloan [31]

Answer:

The value of q are 0.781,-1.281.

Step-by-step explanation:

Given : Two vectors A=i+j+kq and B=iq-2j+2kq are perpendicular to each other.

To find : The value of q ?

Solution :

When two vectors are perpendicular to each other then their dot product is zero.

i.e. \vec{A}\cdot \vec{B}=0

Two vectors A=i+j+kq and B=iq-2j+2kq

(i+j+kq)\cdot (iq-2j+2kq)=0

(1)(q)+(1)(-2)+(q)(2q)=0

q-2+2q^2=0

2q^2+q-2=0

2q^2+q-2=0

Using quadratic formula,

q=\frac{-1\pm\sqrt{1^2-4(2)(-2)}}{2(2)}

q=\frac{-1\pm\sqrt{17}}{4}

q=\frac{-1+\sqrt{17}}{4},\frac{-1-\sqrt{17}}{4}

q=0.781,-1.281

Therefore, The value of q are 0.781,-1.281.

6 0
3 years ago
What is the domain of the function shown in the graph?
lara31 [8.8K]

Answer:

the domain is the possible points on the x axis

Step-by-step explanation:

6 0
3 years ago
Item 3
Kruka [31]

Answer:

The given  system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................  (1)

2 x + 3 y = 15      ...............  (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2  we get,

(2 x + 3 y = 15  )(-2) ⇒ -4x - 6y = -30  .......  (3)

Add (1) and (3), we get:

4 x + 2 y   -4x - 6y    = 18  -30

or, - 4 y = - 12

or, y =  12/4 = 3    ⇒ y = 3

Putting in (1), we get

4x + 2(3)   = 18  or, 4x    = 18 - 6 = 12

or, x  = 3

(x,y)  = (3,3)

Hence, the above system as (3,3) as its solution.

6 0
3 years ago
A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches
LekaFEV [45]

Answer:

L_x=5.3 inches

Step-by-step explanation:

Average length \=x =5.3 inches

Standard deviation \sigma=0.2 inches

Sample size n=50

Generally The point estimate for the mean length of all bolts in inventory is

L_x= \=x

L_x=5.3 inches

3 0
3 years ago
An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use
Oduvanchick [21]

Answer:

с. A matched pairs t-interval for a mean difference.

Step-by-step explanation:

With the sample, we will have possession of the sample mean and of the sample standard deviation, which means that the t-distribution will be used.

We want to find the mean number of back problems for each sample, and estimate the difference. Since the groups are similar, with only the positions in which they work being different, we have matched pairs. So the correct answer is given by option c.

7 0
3 years ago
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