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# Alg 2

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You must find the horizontal distance between two towers at the same elevation on opposite sides of a wide canyon running east and west. The towers lie directly north and south of each other. You mark off an east/west line running perpendicular to AB.

From point C you measure the angle between the two towers. Knowing the distance from C to B, which trig function helps you find the distance AB?

Write an equation to find an expression for the distance AB. (Don’t solve it yet.)

If the angle at C is 88.2° and the distance CB is 100 feet, what is the distance between the towers to the nearest whole foot? (Solve your equation from B and show all your work.)

You want to check your work to make sure it’s right.You should be able to both measure and compute the angle at D. Knowing the distance between the two towers and the distance BD, what inverse trig function would allow you to compute the angle at D?

Given the distance you found in part C and the distance BD is 300 feet, what is the angle at D to the nearest one-tenth degree?

Jan 4, 2018

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Here....I'm assuming that BC  and BD  are at right angles to  AB

From point C you measure the angle between the two towers. Knowing the distance from C to B, which trig function helps you find the distance AB?

We can use the tangent here

Write an equation to find an expression for the distance AB. (Don’t solve it yet.)

tan ACB   =  AB/BC

If the angle at C is 88.2° and the distance CB is 100 feet, what is the distance between the towers to the nearest whole foot? (Solve your equation from B and show all your work.)

tan 88.2  = AB/100   multiply both sides by 100

100tan (88.2)  =  AB  = 3182 ft

You want to check your work to make sure it’s right.You should be able to both measure and compute the angle at D. Knowing the distance between the two towers and the distance BD, what inverse trig function would allow you to compute the angle at D?

Given the distance you found in part C and the distance BD is 300 feet, what is the angle at D to the nearest one-tenth degree?

Jan 4, 2018
edited by CPhill  Jan 5, 2018
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Okay, I don't know how to insert the photo b/c for some reason, it's not letting me do so. But, the triangle is a basic triangle, with 'Tower A' labeled at the top of the triangle, and 'Tower B' labeled at the bottom of the triangle. On the left side of the triangle, it is labeled 'C', and on the right side, it is labeled 'D'. This is basically an explanation of the picture

Jan 7, 2018