Answer:
Height of tree is
<em>15 m.</em>
<em></em>
Step-by-step explanation:
Given that student is 20 m away from the foot of tree.
and table is 1.5 m above the ground.
The angle of elevation is: 34°28'
Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.
AB = CP = 20 m
CA = PB = 1.5 m
= 34°28' = 34.46°
To find TB = ?
we can use trigonometric function tangent to find TP in right angled ![\triangle TPC](https://tex.z-dn.net/?f=%5Ctriangle%20TPC)
![tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cdfrac%7BPerpendicular%7D%7BBase%7D%5C%5Ctan%20C%3D%20%5Cdfrac%7BPT%7D%7BPC%7D%5C%5C%5CRightarrow%20tan%2034.46%5E%5Ccirc%20%3D%20%5Cdfrac%7BPT%7D%7B20%7D%5C%5C%5CRightarrow%20PT%20%3D%2020%20%5Ctimes%200.686%20%5C%5C%5CRightarrow%20PT%20%3D%2013.72%5C%20m)
Now, adding PB to TP will give us the height of tree, TB
Now, height of tree TB = TP + PB
TB = 13.72 + 1.5 = 15.22
<em>15 m</em>
Answer:
Negative
Step-by-step explanation:
Line is decreasing
4.2n+6.795705
Have a great day!
Answer:
rectangle
Step-by-step explanation:
Answer:
The graph is positive and would have a y intercept of 1 and a slope of 2 which means choose a point on the graph and add 2 to the y and 1 to the x and you should be at the next point on the line.
Step-by-step explanation:
y=mx+b
f(x)=y
m = slope
b = y intercept
First you need to make it look like y=mx+b
y = 2x - 1 + 2
y = 2x + 1
Now we can say,
m = 2
b = 1
or,
Slope = ![\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D)
y intercept = 1
Slope (m) = ![\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7Brise%7D%7Brun%7D)
So the numerator is the value your are going to go up or down along the graph and the denominator is the value of how far you are going to go left or right along the graph. If the slope is positive then the graph is inclining. If the slope is negative, the graph is declining.