Antonia is standing 2.8 miles away from mt. drash. she has to tilt her head upwards 68° in order to look straight at the peak of the mountain. she wants to figure out how high the mountain is. !

Using the law of tangents.

Tan(angle) = Opposite Leg / adjacent leg

Tan(68) = x / 2.8 miles

x = 2.8 x tan(68)

x = 6.93

The mountain is about 6.9 miles high.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.