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Simora [160]
3 years ago
8

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevat

ion from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about
Mathematics
1 answer:
morpeh [17]3 years ago
3 0
So, you would 13 + 9 = which is 22 feet and since the angle is 50 degrees, you would multiply 22 x tan(50) to find the height of the streetlamp:22 x tan(50) = 26.21. So, the streetlamp is about 26 feet tall!Hope this helps!
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A right circular cylindrical metallic rod is 15 inches tall. The radius of the base is 2 inches. What is the surface area of the
Artyom0805 [142]

Answer: Surface area = 68π inches²

Step-by-step explanation:

The formula for determining the total surface area of the circular cylindrical metallic rod is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylindrical rod.

h represents the height of the cylindrical rod.

π is a constant whose value is 3.14

From the information given,

Radius = 2 inches

Height = 15 inches

Therefore,

Surface area = (2 × π × 2²) + 2 × π × 2 × 15) = 8π + 60π

Surface area = 68π inches²

4 0
3 years ago
A car is traveling at a speed of miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the ca
mihalych1998 [28]

Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

<em>A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.</em>

<em>Answer:</em>

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

<em>Fetching data from Question:</em>

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

<em>a) How many miles a car will travel in one hour?</em>

<em>b) How many miles will the car travel in 4 hours?</em>

<em>Calculation:</em>

<em>a) How many miles a car will travel in one hour?</em>

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

                      i.e. 60/1.6 = 37.5 miles per hour  

So, the car will travel 37.5 miles in one hour.

<em>b) How many miles will the car travel in 4 hours?</em>

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

                                 The distance =  speed × time

                                                        =  37.5  × 4

                                                        =  150 miles

So, the car travel 150 miles in 4 hours.

<em />

<em>Keywords: distance, speed, kilometers, miles</em>

<em> learn more about distance travel and speed from brainly.com/question/12580265 </em>

<em> #learnwithBrainly</em>

4 0
3 years ago
A family has an annual income of $27,000. Of this, 1/4 is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for savings, 1
pav-90 [236]
Food is $6,750
Housing is $5,400
Clothing is $2,700
Savings is $3,000
Taxes is $6,750
And other expenses is $2,400
7 0
3 years ago
Find the value of x. round to the nearest tenth.
lozanna [386]
The value of x is 29
5 0
3 years ago
Select the correct answer.
zhannawk [14.2K]
You have a good day and good luck on that question
8 0
3 years ago
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