3 years ago

Find x in this trigonometry question

1 answer:

8 0

$\tan 61=\dfrac{y}{10}\\
y=10\tan 61\\\\
\cos 55=\dfrac{z}{10 \tan 61}\\
z=10\tan 61\cos 55\\\\
\sin x=\dfrac{10\tan 61\cos 55}{12}\\
\sin x\approx\dfrac{10\cdot1.8\cdot0.57}{12}\\
\sin x\approx0.855\\
x\approx58.76^{\circ}$

You might be interested in

If the height of the figure below is 5, what is the Surface Area? * 4 ft 8 ft 6 ft

Dafna1 [17]

What figure
Explanation:

5 0

3 years ago

What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?

frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

${x}^{2} + {y}^{2} - 10y + 6x + 18 = 0$

We complete the square to get the expression in standard form:

${x}^{2} + 6x + {y}^{2} - 10y + 18 = 0$

${x}^{2} + 6x + 9 + {y}^{2} - 10y + 25 = - 18 + 9 + 25$

We factor using perfect squares to get:

${(x + 3)}^{2} + {(y - 5)}^{2} = 16$

This implies that,

${(x + 3)}^{2} + {(y - 5)}^{2} = {4}^{2}$

Comparing to

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

The radius is r=4

3 0

3 years ago

there are 82 people in a survey who like vanilla ice cream. if 2 out of every 5 people surveyed like vanilla ice cream, how many

Anton [14]

82 / (2/5) = 82*5/2 = 205 people

7 0

3 years ago

In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an ine

Tasya [4]

Answer:

ussugdfxysuwneuduchske

7 0

3 years ago

Use y=2.5x+65 to find x when y=75

uranmaximum [27]

Answer:

The value of x is 4

Step-by-step explanation:

y = 2.5x + 65; y = 75

Now, Substitute

y = 2.5x + 65

75 = 2.5x + 65

75 – 65= 2.5x + 65 – 65

10 = 2.5x

2.5x = 10

2.5x/2.5 = 10/2.5

x = 4

Thus, The value of x is 4

-TheUnknownScientist 72

6 0

2 years ago