A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12° with the horizontal. The flagpol
eâs shadow is 16 meters long and points directly up the slope. The angle of elevation from the tip of the shadow to the sun is 20°.
1. Write an equation that can be used to find the height of the flagpole.
1. Write an equation that can be used to find the height of the flagpole.
1 answer:
Answer:
Step-by-step explanation:
A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12 degree. The flagpole shadow is 16 meters long and points directly up the slope.
The diagram for the given problem is attached below
We need to find the height of flagpole h
Apply sine law
Required equation is
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Answer:
Area = 492.4 m²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)
Area = 492.4 m²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)