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3 years ago

14

Which equation can be used to solve for c?

2 answers:

AlladinOne [14]3 years ago

5 0

From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
sin (50 degrees C) = 3m / c
Thus, the answer is the first choice.

Liula [17]3 years ago

5 0

Answer:

Option (a) is correct.

Step-by-step explanation:

Given a right angled triangle with given dimensions.

We have to find an equation that can be used to solve for side c,

Consider the given triangle ABC,

We know for ∠B = 50° , we have perpendicular = 3 m and hypotenuse is c,

Trigonometric ratio that defines the relation between perpendicular and hypotenuse is Sine.

Using trigonometric ratio,

$\sin\theta=\dfrac{Perpendicular}{ hypotenuse}$

$\sin 50^{\circ}=\frac{AC}{AB}$

$\sin 50^{\circ}=\frac{3}{c}$

Thus, Option (a) is correct.

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Which equation represents the relationship shown in the graph below?

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3 years ago

a textbook company ships its books in boxes that can hold 30 pounds. one particular order calls for a shipment of 800 books. if

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83 boxes are required to carry 800 books.

According to the question:

One Box can hold weight = 30 pounds

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1 year ago

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

<u>Answer:</u>

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

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Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

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3 years ago