Assuming the two triangles are similar, find the tower’s height from the given measurements below.

Mathematics

1 answer:

Leni [432]4 years ago

3 0

Use proportions to find the height of the building-
$\frac{x}{1}$ = $\frac{8}{.2}$
The x is the height of the building.
It is over 1 (the height of the other building) because both are heights.
Similar triangles are in proportion so the other fraction is in proportion to it.
Cross multiply(x times .2) (8 times 1). You will get this equation-
.2x=8
Solve for x by dividing-
x=40
Since this was done in meters, the answer is-
The building is 40 meters.

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Tomtit [17]

Answer:

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$