Answer:
337285
Step-by-step explanation:
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly
17.0045249336018 meters tall
Answer: 17.0045249336018Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
Answer:
x=42.5
Step-by-step explanation:
First, start by setting up the equation
these are both same side interior angles, so they both add up to 180
(3x+10) + x = 180
4x+10 =180
subtract both sides by 10
-10 -10
4x=170
divide both sides by 4
x=42.5