Given that h(t) = – 4.9t² + 25.6t + 69 represents the height, h(t), in meters, of an object that is thrown off the top of a building, t seconds after it is
thrown answer the following questions:
how many meters high will the object be 2.7 seconds after it is thrown? 102.399
round to 3 decimal places,
how long will it take the object to reach 15 meters?
round to the 3 decimal places.
enter an integer or decimal number more..
you can get there a couple of ways. one makes use of the secant rules that tell you
pq × pr = ps × pt
substituting for pr and pt, you have
pq × (pq + qr) = ps × (ps + st)
pq² + pq×qr = ps² + ps×st
substituting pq for ps everywhere, we have
pq² + pq×qr = pq² + pq×st
dividing by pq gives
pq + qr = pq + st
and subtracting pq leads us to the conclusion
qr = st
another way to look at it is to draw the chord qs. then δqps is an isosceles triangle, and the perpendicular bisector of qs bisects ∠p and also goes through the circle center. then the figure is symmetrical about that diameter secant, making qr ≅ st.
subtract 7, so the answer is x < = 3, or c.