the answer is b. 30 hope this helps
Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
Depending on the way you look at the numbers, they are increasing/decreasing by 0.1.
0.36- 0.1 =0.26
0.26-0.1=0.16
0.16-0.1=0.06
0.06-0.1=-0.04
-0.04-0.1=-0.14
(Or vice versa by adding 0.1 starting with -0.14)
Make sense?
A squared + B squared = C squared
Answer:
65 square units.
Step-by-step explanation:
