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a 10 meter ladder leans against the wall if the foot of the ladder is 5m away from the base what is the measure of the angle in degrees

with solution​

Sagot :

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Answer:

The distance from the base of the ladder to the wall : 2.997 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.

Given

The opposite side: the height of the building = h

The adjacent: the horizontal distance between the ladder and the wall

The angle between the ladder and the ground : 68 °

Solution

we use CAH to solve the distance from the base of the ladder to the wall

Cos θ = Adjacent ÷ Hypotenuse

\begin{gathered}cos\:68=\dfrac{x}{8}\\\\x=\boxed{\bold{2.997\:m}}\end{gathered}

 

Learn more

the measure of the three angles

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