A 21-foot tree casts a 38-foot shadow directly down a slope when the angle of elevation of the sun is 32 degrees. Find theta, th
e angle of elevation of the ground (to the nearest tenth of a degree)
2 answers:
Answer: 35 degree.
Step-by-step explanation:
The angle of elevation makes the height of the tree as opposite, while the shadow it casts is the hypotenuse.
Using trigonometry
[email protected] = opposite/hypotenuse
[email protected] = 21/38
[email protected] = 0.55
@ = sin^0.55
@ = 33.54
@ = 35 degree, to the nearest tenth degree.
Answer:
3.97°
Step-by-step explanation:
Let
θ = desired angle
α =32° - θ = the angle above ground to the top of the slope
θ = 32° - a
If angle of the sun is 32° above a level horizon, then the angle at the top of the slope is given as δ = 90 - 32 = 58°. Now we can measure a
38/sin(58°) = 21/sin a
sin a = [21 sin(58°)]/38
Sin a = 0.47
a = arcsin 0.47 = 28.03
Since,
θ = 32° - a
θ = 32° - 28.03° = 3.97°
You might be interested in
X=-2,+1,-1 ;........................,,,,,,,,,,,
Answer:
no
Step-by-step explanation:
x+14=x14
Answer:
the third one
Step-by-step explanation:
10/4 is not the simplified version that it can be. So 5/2 would be the same expression.
You just divided 1/2 (.5) by 10 which is .05. so the answer is 0.05 gallons