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denis-greek [22]
2 years ago
15

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of th

e shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​
Mathematics
1 answer:
kobusy [5.1K]2 years ago
7 0

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

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En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
Nonamiya [84]

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

6 0
2 years ago
Show two ways to multiply 2/15 x 3/20. Then tell wich way is easier and justify your choice
Radda [10]

The easier way to multiply 2/15 by 3/20 will simply be by multiplying the numerators and denominators.

In order to multiply 2/15 x 3/20, we can simply multiply the numerator and the denominator. This will be

= 2/15 × 3/20

= 6/300

= 1/50

Also, in order to multiply the fractions, we can change them to decimal first. This will be:

= 2/15 × 3/20

= 0.133 × 0.15

= 0.01995

In conclusion, multiplying the numerators and denominators is easier and faster.

Read related link on:

brainly.com/question/25328409

4 0
2 years ago
Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?​
Readme [11.4K]

Answer:

32000 tonnes

Step-by-step explanation:

Given there was a 20% reduction last year from a total of 40000 tonnes .

20% /100% x 40000

0.2 x 40000

8000tonnes

Therefore, previous year’s excerpt = 40000 - 8000

32000tonnes

6 0
2 years ago
In one day a clothing store sells 9 shirts costing 25.75 each. How much money does the store earn from the shirts?
Nata [24]

Answer:

227.43

Step-by-step explanation:

You times 9 by 25.75 to get your answer

4 0
3 years ago
Read 2 more answers
What is the solution of the system ? <br> 2x+3y=4 <br> x-y=-3
fgiga [73]
Change the equation, x - y = -3, to isolate x or y and plug that new equation into the equation 2x + 3y = 4

I changed it to: x = y - 3
so 
2(y - 3) + 3y = 4
2y - 6 + 3y = 4
5y - 6 = 4
5y = 4 + 6
5y = 10
y = 10/5
y = 2

then you plug that 2 into the equation x = y - 3 to get the value of x

x = (2) - 3
x = -1

you can check this by plugging the x and y values into the equation 2x + 3y = 4

2(-1) + 3(2) = 4
-2 + 6 = 4
4 = 4

hope this helps :)




6 0
3 years ago
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