Answer: option A. 30 °.
Explanation:
1) Draw this triangle: Eyes - Ship A - height of the cliff:
The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.
2) opossite leg = horizontal distance to the ship A = x
3) adjacent leg = height of the cliff = 1500 feet
4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3
5) Draw the triangle of the eyes - ship B - hieght of the cliff
6) The unknown is the depression angle of the eyes with ship B, α
7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet
8) adjacent leg = height of the cliff = 1500 feet
9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3
10) α = arctan(√3) = 60°
11) Depression angle = 90° - 60° = 30° Which is the answer
Answer: 36.6
Step-by-step explanation: 2x+1+3x-4=180
add 2 & 3 to get 5x
subtract 1 from 1 & 180
so u would have 5x-4=179
+4 to 179
then 5x=183
divide by 5
x=36.6
hope it helps
Answer:
A. 12
Step-by-step explanation:
TU and CV are two chords of the circle that intersects at point w.
Thus,
(two intersecting chords theorem)
Solve for x
Divide both sides by 3
Answer:
Plot the coordinates on a graph and join them to form a triangle. After doing that, you can count the length of each triangular side and find the sum of the 3 sides. That will be your answer.
Answer:
find b: since the triangle is right angle triangle apply the Pythagorean theorem
c²+b²=d²
b²=d²-c²
b²=16²-12²
b²=256-144
b²=112
<h2>b=√112 = 4√7</h2>
the sum of the angle of the triangle=180
( in top Δ abd ) sin Ф=opp/hyp
sinФ=b/d=4√7/16= √7/4 radian
convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees
<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>
find a=?? apply law of cosine
a²= d^2 + c^2 − 2dc cosA
a²=16² + 12²-2(16)(12)cos38
a =√(16² + 12²-2(16)(12)cos38)
<h2>a=9.87 rounded to the nearest hundredth</h2>
(i hope it is right )
