Answer:
NOTES
Step-by-step explanation:
Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.
<h3>What is the distance between the tree and point B?</h3>
Given the data in the question;
- Height of tree opposite angle of elevation = 34ft
- Angle of elevation θ = 26°
- Distance between tree and point B| Adjacent = ?
Since the scenario form a right angle triangle, we use trig ratio.
tanθ = Opposite / Adjacent
tan( 26° ) = 34ft / x
We solve for x
x = 34ft / tan( 26° )
x = 34ft / 0.4877
x = 70ft
Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.
Learn more about trigonometric ratio here: brainly.com/question/28038732
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Answer:
Step-by-step explanation:
3 pears, 9 apples
the ratio of pears to apples is 3:9 which reduces to 1:3
now if it wanted the ratio of apples to pears, it would be 9:3 which reduces to 3:1
*****pay close attention to the way it is worded
Answer:
The answer is below
Step-by-step explanation:
N is inversely proportional to t, therefore:
N ∝ 1/t
Let k be the constant of proportionality, hence we can replace the relationship by:
N = k/t
Given that when t is 36, N is 176. Therefore we can find the value of k:
176 = k / 36
k = 176 * 36 = 6336
N = 6336/t
Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:
N = 6336/6
N = 1056
Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:

Filling in:

Cross multiply to get
324 = 108x
and x = 3