Can someone help me with these math problems please? I need it done by tonight if someone can please help me by then...I'll make
the one with the right answers brainliest. Don't answer just for the points.. So if anyone can please help me it'll be helpful please and thanks must have right answers and done by tonight..
1 answer:
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Answer:
13 +
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB =
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 +
--> 13 +
or
--> 22.43398113....
Answer:
8 meters
Step-by-step explanation:
First, we can draw this out. The angle of depression represents the angle above the line from the bird and the apple, as shown. A line can be drawn from the bird to the apple as well as from the apple's height to the bird's height. A third line can be drawn connecting the line that goes straight up from the apple to the bird, forming a right triangle. We know that this is a right triangle because the purely vertical line from the apple's height to the bird's height is perpendicular to the horizontal line from the bird to the line right above the apple.
Next, we know that we are given an angle and the side adjacent to it. We want to find the length of the side opposite to the angle because that will give us the height from the bird to the apple, and adding that to the height from the apple to the ground will give us the height of the tree. In sohcahtoa, one equation that symbolizes this is tan x = opposite/adjacent, so
tan(55°) = opposite/adjacent
= opposite/4.5
multiply both sides by 4.5 to isolate opposite
tan(55°) * 4.5 = opposite
≈ 6.43
Adding this to the height of 1.5 meters from the apple to the ground, we get the height of the tree to be approximately 7.93, rounding up to 8 meters
Step-by-step explanation:
answers I the above photo
some of the questions are not clear
