A car is traveling at 50 mi/hour. What is the car's speed in feet per second?

I know the selected answer is correct but I'm not too sure how to get that answer.

Kryger [21]

$\tt{ Hey \: there , \: Mr.Panda \: ! }$ ;)

♨ $\large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}:$

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( $\theta \: , \alpha \: ,\beta$ ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

☄ $\large{ \tt{REMEMBER}} :$

$\bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }$

$\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }$

$\bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }$

In the above cases , $\theta$ is taken as the angle of reference.

♪ Our Q/A part ends up here! Let's start solving the question :

❈ $\large{ \tt{GIVEN}} :$

Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16

✧ $\large{ \tt{TO \: FIND} : }$

Value of tan $\theta$

✎ $\large{ \tt{SOLUTION}} :$

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

❃ $\boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}$ [ Pythagoras theorem ]

$\large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }$

$\large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}$

$\large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}$

$\large{⇢ \sf{ {p}^{2} = 324 - 256}}$

$\large{⇢ \sf{ {p}^{2} = 68}}$

$\large{⇢ \sf{p = \sqrt{68}}}$

$\large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}$

Okey, We found out the perpendicular i.e $\tt{2 \sqrt{17}}$ . Now , We know :

❊ $\large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }$

$\large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}}$

$\large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}$

$\large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}}$

⟿ $\boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}}$

۵ Yay! We're done!

♕ $\large\tt{RULE \: OF \:SUCCESS }:$

Never lose hope & keep on working ! ✔

ツ Hope I helped!

☃ Have a wonderful day / evening! ☼

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3 0

3 years ago

Read 2 more answers

Solve the equation by the elimination method..!! 1. 3x+ 4y= 10 & 2x- 2y = 2

siniylev [52]

Step-by-step explanation:

3x + 4y =10_____(I)

2x - 2y=2______(II)

Multiple the eqn( II )to 2.

2(2x - 2y =2)

4x - 4y=4_____(III)

Subtracting the eqn (I)to (II)

 3x + 4y=10

 4x - 4y=-4

 7x =14

 x =14/7

 x = 2

put the value of x in eqn (I)

 3x+4y=10

 3(2)+4y=10

 6+4y=10

 4y=10-6

 4y=4

 y4/4

 y=1

4 0

2 years ago

The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop. If a 1,425 square foot sh

Serhud [2]

Answer:

58240

Step-by-step explanation:

from 1,425 to get to 45,600 you multiply it by 32

1,820 times 32 is 58240

7 0

2 years ago

Read 2 more answers

Which equation has x=4 as the solution

dedylja [7]

Answer:

are you looking for example?

Step-by-step explanation:

If so,

X + 3 = 7

4 0

3 years ago

What is the value of the missing angle??

Mice21 [21]

Answer:

39°

Step-by-step explanation:

51° +? = 90°

? = 90° - 51°

? = 39°

Hope it helps you in your learning process.

4 0

2 years ago

A car is traveling at 50 ​mi/hour. What is the​ car's speed in feet per​ second?

A car is traveling at 50 mi/hour. What is the car's speed in feet per second?