Trigonometry
The angle of elevation of the top of the building at a distance of 30m from its foot on a horizontal plane is found to be 25 degrees. Find the height of the building.
X=13.99m
Find the area of a polygon with the following vertices: {(2,1), (4,5), (7,8)}
Area= 3u2
How are a line and a line segment the same?
They contain two points.
A ranger standing 90 feet from a trees sights the top of the tree at a 30 degree angle of elevation. If the height of the ranger is 6 feet, find the height of the tree.
X= 57.96 feet
Lizbeth planned to sell a trapezoid-shaped portion of his property that has parallel sides measuring 147 feet and 57 feet. The other sides measure 144 feet and 90 feet while the depth of the property is 50 feet. What is the area of this property.
Area= 5,100 feet
How are a line and a line segment different?
A line keeps going on and a line segment doesn’t.
The tailgate of a moving van is 5 feet above the ground. A loading ramp is attached to rear of van at an incline of 15 degrees. Find the length of the ramp to the nearest tenth foot.
X= 19.32 feet
Find the area of the quadrilaterals with the following vertices: A(-4,-3), B(2,-3), C(4,-6), and D(-2,-6).
Area= 18u2
How are a line segment and a ray the same?
Both got an endpoint.
At 2pm, the shadow of a lighthouse is 11 feet long and the angle of depression of the sun is 45 degrees. Find the height of the lighthouse.
X= 11 feet
Find the area of a polygon with the following vertices: {(5,8), (2,5), (4,6)}
Area= 1.5u2
How are a line segment and a ray different.
A ray has one endpoint and a line segment has two.
The steepest grade of a strandard railway system in the world is in France betweeen Chedde and Servoz. The track rises 3 feet for every 15 feet of run. Find the measure of the angle formed by the track and the run.
X= 11.31 feet
Fine the area of a triangle with the following side lengths: 3,6 and 7
Area= 10.95
What’s an endpoint?
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