# trigonometry

posted by .

A tent pole is 85 feet high. A cable is attached to the ground 200 feet from the tower base. How long is the cable? What is the measure of the angle the cable makes to the ground?

• trigonometry -

The hypotenuse of a right triangle, using Pythagoras theorem, is
Length of cable
=√(200²+85²) feet

The angle would be
arc tangent(85/200)

## Similar Questions

1. ### MATH

A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire.Find the height of the tower. 20^2=H^2 …

A cable that is used to support a 76 foot tower is secured to the ground 31 feet from the base of the tower. Find the angle of elevation to the nearest degree that the cable makes with the ground. Answer choices: 22 degrees, 24 degrees, …
3. ### Math

A telephone pole is secured with two cables. The first cable is attached to the top of the pole and makes an angle of 70° with the ground. The cable is secured to the ground 8 m from the bottom of the pole. The second cable is attached …
4. ### geometry

A cable that is used to support a 73 foot tower is secured to the fround 38ft from the base of the tower. Find the angle of elevation to the nearest degree that cable makes with the ground?
5. ### Calculus

A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x)=10+(0.4)(x^1.5). …
6. ### Geometry

A telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 3 meters from its base. When Leah walks 2.5 meters from the base of the pole toward the point where the cable is attached …
7. ### Trig

Problem: A cable from the top of a 60 foot high tower is to be attached to the ground (x) feet from the base of the tower. A) if the cable makes an angle of t radians with the ground when attached, express t as a function of x. B) …
8. ### Geometry

A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground. If the cable forms a 60 degree angle with the ground, how high up the pole should the cable be attached?
9. ### calculus

A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x) = 10+(0.1)*(x^1.5). …
10. ### Trigonometry

how long is the cable that supports a 10m. high antenna if the cable is connected at the middle of the pole of the antenna and at the ground 6m. away from the base of the pole?

More Similar Questions