# Math

Nasreen is designing an obstacle course that includes two ladders leaning against a pole. In order for the ladders to fit in the obstacle course, one ladder must span
1.6 m horizontally and the other must span 5 m horizontally. She already has one
4.3-m ladder. How long must the other ladder be? The answer should be rounded to the nearest tenth.

1. 👍
2. 👎
3. 👁

1. 👍
2. 👎
2. clearly the 4.3m ladder must span the 1.6m distance. Its height is thus
h = √(4.3^2-1.6^2)

So, the length of the other ladder must be

√(h^2+5^2) = √(4.3^2-1.6^2+5^2) = 6.4

1. 👍
2. 👎

## Similar Questions

1. ### Math: Trig

to determine the height of a pole across a road, Justin takes two measurments. he stands at Point A directly across from the bass of the pole and determines that the angle of elevation to the top of the pole is 15.3 degrees. he

2. ### Trigonometry

A vertical pole 35m high, standing on sloping ground is braced by a wire which extends from the top of the pole to a point on the ground 25 m from the foot of the pole. If the pole subtends an angle of 30 degrees at the point

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

4. ### Calculus

A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is her shadow lengthening when she is 30 ft from the base of the pole?

1. ### Math

A telephone pole anchored to the ground by a cable called guy wire at a point of 5m from the base of the pole. The wire make an angle of 72.5 with the horizontal. What is the height of the pole where the guy wire is attached to

2. ### Math

An 8 meters bamboo pole is leaning against a coconut tree. The foot of the pole is 3 meters from the base of the tree. What angle does the pole make with the tree if the pole reaches up to the top of the tree? HELP PLEASE!

3. ### Math

Two ladders are leaning against a wall at the same angle, as shown. How long is the short ladder? (two ladders, one is 70 and 50 and the other short ladder says 20). 28 ft 175 ft 25 ft 20 ft

4. ### geometry

the triangles formed by two ladders leaning against a wall are similar. how long is the shorter ladder? the first ladder is 42ft and leans against the wall at 24ft, and the shorter ladder leans against the wall at 8ft.

1. ### Math

From two points A and B, 43m apart and on the same horizontal line with the foot C of an electric pole, the angles of elevation of the top of the pole are 24 degree and 37 degree respectively. Find the heights of the pole

2. ### algebra

two ladders are leaning against a wall at the same angle as shown Measurements: 60, 50, 20 (ANSWERS) a20 b24 c30 d40

3. ### Poetry

2. Which of the following lines from the poem includes an example of alliteration? (1 point) Waiting, huddled close together Our food was gone. Our fuel was low. Amundsen had reached the Pole. We had come pursuing glory

4. ### Angles of elevation and depression

The teet of two vertical poles of height 3m and 7m are in line with a point P on the ground. The smaller pole being between the taller pole and P and at distance of 20m from P the angle of elevation of the top T of the taller pole