Answer:
B. 30 ft
Step-by-step explanation:
The ladder is 32 ft long
The angle of elevation of the ladder is 70°
The height (h) of the top of the ladder to the ground is what we are to find.
= sin 70°
h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)
You first have to make the denominators the same 1/7x3/3 and 1/3 X 7/7
3/21 + 7/21 = 10/21
the answer is 10/21
4 times 6 equal 24 and 5 times 7 is 35 and 2 times 1 is 2 so 35+24+2 and it equals 61
Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.
Using that we have to find 31st term.
To find that we can use nth term formula of arithmetic sequence which is given by:

where n is the number of term so n=31
t_n indicates nth term
a_1 is the first term so a_1=1.77
r is the common difference which is given by difference of consecutive terms
then r=1.92-1.77=0.15
Now plug these values into above formula





Hence final answer is 6.27.