Your family goes out to Chili's for dinner. Chili's charges $9 for an adult dinner and $5 for a
1 answer:
You might be interested in
Answer:
The height of the cliff CD is approximately 539.76 m
Step-by-step explanation:
The given parameters are;
The first angle of elevation with which the captain sees the person on the cliff = 61°
The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°
The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°
∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;
The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°
By sine rule, we have;
AB/(sin(a)) = BC/(sin(c))
Which gives;
92/(sin(8°)) = BC/(sin(61°))
BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m
BC ≈ 578.165 m
The height CD = BC × sin(69°)
∴ The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.
The height of the cliff CD ≈ 539.76 m.
Hello there! The value of x is 20 or -20
"20 or - 20" is one answer so you are supposed to answer 20 or -20, not choose only one.
Step-by-step explanation:
First, we simplify 5² and 4²
Multiply the whole equation by 25 to get rid of the denominator.
Square both sides and solve the equation.
Also don't forget to write "plus or minus" symbol when we are solving a quadratic equation by squaring both sides.