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>
The equation for circumference is
![c = 2r\pi](https://tex.z-dn.net/?f=c%20%3D%202r%5Cpi)
Since you have the diameter you can either divide the diameter (d) by two to get the radius (r), or you can divide two from the equation to give you
![c = d \pi](https://tex.z-dn.net/?f=c%20%3D%20d%20%5Cpi)
So the circumference is 33*pi meters, approximately 103.62 meters
2.) 5/4 is rational because it has an exact decimal and it stops. This is why it is rational. Hope this helps!
Answer:
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Answer:
49.09°
Step-by-step explanation:
c = circumference = 2×π×r
= 2× 22/7 ×7 = 44 ft
θ = 6/c × 360°
= 6/44 × 360° = 49.09°