d=-5.5 should be the answer
Answer:
Height of shuttle at that instant = 1.17 miles
Step-by-step explanation:
Refer the given figure.
C is the position of rocket and B is the position of observer.
Here we need to find AC, that is the height of shuttle at that instant.
Using trigonometric rules on ΔABC, we have

Height of shuttle at that instant = AC = 1.17 miles
From the explanation below,
a= -10 and b= -4
Answer:

Step-by-step explanation:






Step 1:
Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.


Step 2:
Next we have 4 in multiplication on left side, so dividing right side by 4,


Step 3:
taking log on both sides


Step 4:
Dividing right side by 2,
x= ln (3.75) /2 = 0.66088
Answer : x = 0.66088..