Will give brainliest! How many distinct triangles can be made? I think I have to first find the measure of length b and then com
pare measure a with b and h to find the answer. Please help me out on how to find measure length b
1 answer:
Check the picture below.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.
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Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
<h3><u>Question:</u></h3>
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
<h3><u>Answer:</u></h3>Dimensions of cylinder A are multiplied by to produce the corresponding dimensions of cylinder B
Cylinders A and B are similar solids.
The base of cylinder A has a circumference of units
The base of cylinder B has an area of units
Let "x" be the required factor
From given question,
Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B
Therefore, we can say,
The circumference of base of cylinder (circle ) is given as:
Where "r" is the radius of circle
Given that base of cylinder A has a circumference of units
Therefore,
Thus the dimension of cylinder A is radius = 2 units
<h3><u>Cylinder B:</u></h3>The area of base of cylinder (circle) is given as:
Given that, the base of cylinder B has an area of units
Therefore,
Thus the dimension of cylinder B is radius = 3 units
Thus dimensions of cylinder A are multiplied by to produce the corresponding dimensions of cylinder B