Cosine law
a^2 = b^2 + c^2 - 2(b)(c)cosA
a^2 = 2^2 + 4^2 - 2(2)(4)cos78
a = 4.08
a = 4.1
Answer:
53.33 meters
Step-by-step explanation:
Let AB represents the height of the cliff,
( where, A is top and B is bottom ),
Also, C and D represents the shadow of the cloud and cloud in the sky respectively,
Suppose E is a point in the segment CD,
Such that,
AB = DE = 40 meters,
According to the question,


Since,




Now,



Hence,
The height of the cloud above the lake = CE + ED

Answer:

Step-by-step explanation:
Let x = number of books that Hannah donated
We know that the number of students is 150 and the total number of books is represented by b, we can write that as:
Average number of books donated by each student = 
Now we know that Hannah donated 3 times as much as the average. We can write that as:

Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!