Adrian Is Flying Kite .He Is Holding The End Of The String At Distance Of 1.5m Above The Groun ,If The String Is 20 Mlong And Makes An Angle Of 40 Wit
adrian is flying kite .he is holding the end of the string at distance of 1.5m above the groun ,if the string is 20 mlong and makes an angle of 40 with the horizontal,how high is the kite above the ground?
Kite height from above the ground: 14,356 m
Further explanation
Triangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
For right triangle we can use it
- SOH stands for Sine = Opposite ÷ Hypotenuse.
- CAH stands for Cosine = Adjacent ÷ Hypotenuse.
- TOA stands for Tangent = Opposite ÷ Adjacent.
Kite height from the ground, is the total height of the sum of the height of the end of the string from the ground and the height of the string itself
We know the height of the end of the string from the ground is 1.5 m
While the height of the string itself we can find from the triangle formula using the Sine formula
Given:
Opposite = kite height
Hypotenuse = string length = 20 m
Angle: 40 °
Solution
we use SOH to solve the height of the kite
Sine θ = Opposite ÷ Hypotenuse
Opposite = Hypotenuse x Sine θ
Opposite = 20 m x Sine 40 °
Opposite = kite height = 12,856 m
So that the total height of the kite from the ground
Total height = 12,856 + 1.5
Total height = 14,356 m
Learn more
the measure of the three angles
the lengths of the other two sides
Comments
Post a Comment