What is the base of a triangle whose height is 10 and whose area is 160
1 answer:
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Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of .
Step-by-step explanation:
To construct a perpendicular for , we must first take a compass & take the distance of its arms wider than half the length of
.
This is done in order to get two intersecting arcs in the top & bottom of so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above , draw a line joining these 2 points through their points of intersection. The point where it intersects
is the middle-most point of
& now a perpendicular bisector of
is constructed.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.
<h3>What is Tangent (Tanθ)?</h3>The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
A.) The distance between the boat and the lighthouse when the angle of depression is 10°.
Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(10°) = 822.336ft
B.) The distance between the boat and the lighthouse when the angle of depression is 68°.
Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(68°) = 58.584ft
The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft
Hence, the distance from point A to point B is 763.752ft.
Learn more about Tangent (Tanθ):
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