Solve Applied Problems Involving Parabolas

question 15

Multiple Choice

Solve Applied Problems Involving Parabolas
-An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 12.25 inches tall and stand 70 inches apart. At some point along the road from the lowest point of the cable, the cable is 1.1 inches above the roadway. Find the distance between that point and the base of the nearest tower.

• A) 24.5 in.
• B) 10.3 in.
• C) 24.7 in.
• D) 10.7 in.

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Definitions:

Therapeutic Alliance

The cooperative and working relationship between a client and therapist, seen as a key element in the therapy's effectiveness.

Client-centered Therapy

A humanistic approach to psychotherapy that emphasizes an individual's self-discovery and actualization.

Self-concepts

An individual's perception of themselves, including their beliefs, feelings, and thoughts about their own identity and abilities.

Humanistic Therapists

Therapists who focus on helping individuals achieve their full potential through self-exploration and personal growth, emphasizing empathy and unconditional positive regard.