What is the height of this isosceles triangle?

Mathematics

1 answer:

erastova [34]3 years ago

5 0

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = $\frac{opposite}{hypotenuse}$ ( the opposite is the height h )

sin48° = $\frac{h}{16}$ ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

You might be interested in

If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree

andriy [413]

The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:
$\frac{x}{48} = \frac{5}{8}$
From here, we clear the value of x.
We have then:
$x = \frac{5}{8} *48$
Rewriting:
$x=30$
Answer:
the tree is 30 feet tall

3 0

2 years ago

If there are 18 marbles in a jar and Edgar's absolute guessing error is what was Edgar's original guess?

Anon25 [30]

Answer:

wait what was edgar's absolute guessing error

Step-by-step explanation:

greater than 18, or less than 18

8 0

3 years ago

Read 2 more answers

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i