Tree Height Survey with Right Triangle Trigonometry

Tree Height Survey with Right Triangle Trigonometry
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A surveyor is standing some distance away from a large tree and needs to determine its height using right triangle trigonometry.

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About Tree Height Survey with Right Triangle Trigonometry

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Slide1Section 2 – Right Triangle TrigonometryWord Problems

Slide2a surveyor is standing 50 feet from the base of a large tree.  Thesurveyor measures the angle of elevation to the top of the tree as          .  How tall is the tree? 50 X

Slide3a 40-foot flagpole casts a 30 foot shadow.  find the angle ofelevation of the sun. 40 30

Slide4from a point 50 feet away from the entrance to lincoln-Way East,Yugo measured the angle of elevation to the top of the building to be        .  How tall is the building? 50 X

Slide5pat wanted to measure the height of the flagpole at Lincoln-WayEast.  From a point, he measured the angle of elevation of the flagpole to be        .  He then moved back 15 feet and found the angle of elevation from there to be      .  How tall is the flagpole? 15 X y

Slide624.955 feet

Slide7a student looks out a second-story window and sees the top of theflagpole at an angle of elevation of      .  The student is 18 feet above the ground and 50 feet from the flagpole.  Find the height of the flagpole. 18 50 X

Slide8from points a and b, 10 feet apart, the angle of elevation of thetop of a tower are       and       .  Find the tower’s height. 10 A B X y

Slide9X = 21.496 feet