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Chapter 8: Q.30 (page 553)

Finding the Speed of a Glider From a glider 200 feet above

the ground, two sightings of a stationary object directly in

front are taken 1 minute apart (see the figure). What is the

speed of the glider?

Short Answer

Expert verified

The speed of the glider =132.55ft/mint

Step by step solution

01

Step 1, Given the information   

The given data from diagram is A=40D=10

Where A and D are the angle made by glider firstly and secondly

02

Step 2. Find the base of the first triangle

Using trigonometry ,tan40=base200base=200脳tan40base=167.82ft

03

Step 3. Find the horizontal distance of a plane from a tree

Using trigonometry,tan10=distancefromtree200distancefromtree=200脳tan10distancefromtree=35.26ft

04

Step 4. speed of the glider

The glider travel 167.82-35.26132.55ftin one minute

Speedoftheglider=distancetimeSpeedoftheglider=132.551=132.55ft/mint

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