From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find
1 answer:
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
#SPJ1
You might be interested in
Answer:
Standard form of the line with point (4,-8) and slope of 1/4 is
-x + 4 y = -36.
Step-by-step explanation:
The slope of the line equation = 1/4
The point is given as (4,-8).
Now, by POINT SLOPE formula,
The line equation with slope m nad point (x0,y0) is given as:
(y - y0) = m (x -x0)
So, the line equation here is given as
Now, the standard form of line equation is Ax + By = C
Here, 4y = x - 36 ⇒ 4y - x = -36
or, -x + 4y = -36 is the standard form.
Hence,standard form of the line with point (4,-8) and slope of 1/4
is -x + 4y = -36.