What degree could a 34-meter crane be set up so that it could reach the top of the pole from a distance of 15 meters from the base of the pole?*60°60.70°63.82°65.90°

To solve this problem, we can use the tangent function in trigonometry. The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side.

Here, the opposite side is the height of the pole (which is unknown), the adjacent side is the distance from the crane to the pole (15 meters), and the hypotenuse is the length of the crane (34 meters).

We can set up the equation as follows:

tan(θ) = opposite/adjacent

We know that the crane can reach the top of the pole, so the opposite side is less than or equal to the length of the crane. Therefore, the maximum value of tan(θ) is 34/15.

We can then use the inverse tangent function (also known as arctan or tan^-1) to find the angle:

θ = arctan(34/15)

Using a calculator, we find that θ is approximately 66.42 degrees.

However, this is not one of the options given. It's possible that there was a mistake in the problem or in the provided options. The closest option to the calculated answer is 65.90°.