# May 2010

**Problem**

Calculate the acute angle between two intersecting surfaces whose equations are as follows:

$$2x - 4y - z = -5$$

$$3x + 4y + 5z = -6$$

A. 62.4° | C. 42.6° |

B. 64.2° | D. 46.2° |

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**Problem**

If $\arcsin (3x - 4y) = 1.571$ and $\arccos (x - y) = 1.047$, what is the value of $x$?

A. 0.5 | C. 1.5 |

B. 1.0 | D. 2.0 |

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**Problem**

A 523.6 cm^{3} solid spherical steel ball was melted and remolded into a hollow steel ball so that the hollow diameter is equal to the diameter of the original steel ball. Find the thickness of the hollow steel ball.

A. 1.3 cm | C. 1.2 cm |

B. 1.5 cm | D. 1.6 cm |

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