The problem involves a right triangle where the totem pole is one side, the ground distance (27 m) is another side, and the hypotenuse is the rope. The angle of elevation (46 degrees) is the angle between the ground and the rope.

We can use the cosine of the angle of elevation to find the length of the rope. The cosine of an angle in a right triangle is equal to the adjacent side (the ground distance) divided by the hypotenuse (the rope).

So, we can set up the equation as follows:

cos(46) = 27 / rope_length

To solve for the rope length, we rearrange the equation:

rope_length = 27 / cos(46)

Now, we just need to plug in the values and calculate. The cosine of 46 degrees is approximately 0.7193.

rope_length = 27 / 0.7193 ≈ 37.5

So, the length of the rope needed is approximately 37.5 meters. Since the problem asks for the answer to one decimal place, we round to 37.5.

Question

The problem involves a right triangle where the totem pole is one side, the ground distance (27 m) is another side, and the hypotenuse is the rope. The angle of elevation (46 degrees) is the angle between the ground and the rope.

We can use the cosine of the angle of elevation to find the length of the rope. The cosine of an angle in a right triangle is equal to the adjacent side (the ground distance) divided by the hypotenuse (the rope).

So, we can set up the equation as follows:

cos(46) = 27 / rope_length

To solve for the rope length, we rearrange the equation:

rope_length = 27 / cos(46)

Now, we just need to plug in the values and calculate. The cosine of 46 degrees is approximately 0.7193.

rope_length = 27 / 0.7193 ≈ 37.5

So, the length of the rope needed is approximately 37.5 meters. Since the problem asks for the answer to one decimal place, we round to 37.5.

Knowee AI · Accepted Answer

The problem involves a right triangle where the totem pole is one side, the ground distance (27 m) is another side, and the hypotenuse is the rope. The angle of elevation (46 degrees) is the angle between the ground and the rope.

We can use the cosine of the angle of elevation to find the length of the rope. The cosine of an angle in a right triangle is equal to the adjacent side (the ground distance) divided by the hypotenuse (the rope).

So, we can set up the equation as follows:

cos(46) = 27 / rope_length

To solve for the rope length, we rearrange the equation:

rope_length = 27 / cos(46)

Now, we just need to plug in the values and calculate. The cosine of 46 degrees is approximately 0.7193.

rope_length = 27 / 0.7193 ≈ 37.5

So, the length of the rope needed is approximately 37.5 meters. Since the problem asks for the answer to one decimal place, we round to 37.5.

A totem pole is being stabilized by attaching a rope at the top and anchoring it in the ground 27 m away from the base.The angle of elevation is 460. How long a rope is needed?(Answer to ONE decimal place and put only the number with no units in the answer box.)

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