Answer:
Altitude of the jet is 10.40km
Step-by-step explanation:
The angle of elevation = 8°
Horizontal distance (adjacent to the angle) = 74km
Altitude of the plane (opposite) = ?
Kindly check attached document for better illustration.
To solve this question, we have to use tangent rule since we have adjacent and angle, but no opposite.
Tanθ = opposite / adjacent
θ = 8°
Adjacent = 74km
Opposite = ?
Tan 8 = x / 74
Opposite = 74 * tan8
Opposite = 10.40
The altitude of the jet is 10.40km
Before attempting to solve this question, we must first know three things.
1. A straight line has a measure of 180 degrees.
2. When two angles add up to 180 degrees, those angles are called supplementary.
3. The interior angles of a triangle add up to 180 degrees.
We can see ∠ECT = 180 degrees.
∠DCT is supplementary to ∠DCE.
∠DCT = 140 degreees
∠DCE = x degrees
x + 140 = 180
Solve for x.
x + 140 = 180
x = 40 <-- Subtract 140 from each side
∠DCE = 40 degrees
We know the two interior angles of ΔDEC.
45 + 40 + x = 180
Solve for x.
45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95
So, the missing angle is equal to 95 degrees.
Answer: Perimeter = 33.94
Step-by-step explanation:
Answer:
(
x
−
6
)
(
x
−
4
)
Step-by-step explanation:
In this technique, if we have to factorise an expression like a
x
2
+
b
x
+
c
, we need to think of 2 numbers