Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
The triangle is a right triangle.
Step-by-step explanation:
Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

Therefore, the triangle is right.
For the sake of example, let's multiply the two numbers

and

together. Altogether, we have:

Rearranging the expression, we can group the exponents and coefficients together:

Multiplying each out, we notice that since

and

have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.
Answer:
its 5.795
Step-by-step explanation: