A snowplow removes three fourths of the snow each time that it goes down a road. If a road starts with 24

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

8 0

2 years ago

Georgina knows the inequality is true, but she cannot remember what number is in the denominator.

stealth61 [152]

Answer:

Step-by-step explanation:

Which number could be the missing number?

Given the inequality expression, 1/10 > 1/ ?

We are to fine the missing number that will make the inequality true;

Cross multiply:

1 * x > 1*10

x > 10

Hence the value of x greater than 10 is the answer. From the options, the only value greater than 10 is 12. Hence 12 is the correct answer.

8 0

2 years ago

Read 2 more answers

Can anyone help me out? Steps would be useful but not needed. Its Trig-Missing Sides.

Hitman42 [59]

Answer:

10.3 units

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = 69°

Side length Opposite to reference angle = x

Hypotenuse length = 11

Thus, apply the trigonometric ratio, SOH:

Sin 69 = Opp/Hyp

Substitute

Sin 69 = x/11

11 × Sin 69 = x

10.2693847 = x

x = 10.3 units (nearest tenth)

5 0

2 years ago

The graph shows a reflection.

Andru [333]

Answer:

false

Step-by-step explanation:

the only difference is the fact that it was reflected over the y-axis. the size of the triangle was not altered. the triangles are the same size, just different locations.

5 0

2 years ago

Read 2 more answers

What is the area of this composite shape? Enter your answer in the box. In².

vladimir2022 [97]

The area of the composite shape is the sum of the area of the triangle and the area of the rectangle. The area of the composite shape is 53 in².

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The composite is made up of triangles and rectangles.

The area of the composite shape will be the sum of the area of the triangle and the area of the rectangle.

The area of the triangle will be

$\rm Area\ of\ the\ triangle = \dfrac{1}{2} * 5 * 2\\\\Area\ of\ the\ triangle = 5$

The area of the rectangle will be

$\rm Area\ of\ the\ rectangle= 8*6\\\\Area\ of\ the\ rectangle = 48$

The area of the composite shape is 48 + 5 = 53.

The area of the composite shape is 53 in².

More about the geometry link is given below.

brainly.com/question/7558603

4 0

2 years ago