Answer:
the sum of exterior angles of a polygon is 360°
HURRY PLZZ!!! THIS IS 90 POINTS!!! I WILL MARK BRANLYEST!!!! 2. A ladder is leaning against the outside wall of a building. The
ladder is exactly 10 feet long and makes an angle of 60° with the ground. Let’s find the height the ladder reaches along the building. Label this height as x in your diagram. e. Use your calculator to find the value of sin 60°. In your equation, replace sin 60° with this number, and solve your equation to find the height up the wall. f. Now let’s figure out how far the base of the ladder is from the building. Label this distance as z in your diagram. i. Which trig ratio (sin 60°, cos 60°, or tan 60°) would be most helpful for finding z? _________ Explain. ii. Write and solve a trig equation to help you find z (Use #1d as a guide.)
1 answer:
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Step-by-step explanation:
Cubes have square faces, so the area of the base is b².
The volume of the cube is b³.
The height of each pyramid is half the height of the cube, so h = b/2. Which means b = 2h.
The cube is made of 6 square pyramids with the same base and height. Therefore, each pyramid has 1/6 the volume of the cube. So the volume of each pyramid is b³/6.
1. , then
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that .
4. This ratio is equivalent to .
5. , then
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that .
8. This ratio is equivalent to .
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since you have
.