Answer:
<em>The angle of elevation of the sun is 32°</em>
Step-by-step explanation:
<u>Right Triangles</u>
The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.
Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.
The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:
Calculate x by using the inverse tangent:
The angle of elevation of the sun is 32°
Answer:
36.8/2.8 = 16
Expression 1 = 368/28
Expression 2 = 3.68/.28
Step-by-step explanation:
If you move the decimal the same on both numbers of a division problem the answer stays the same.
Answer:
Step-by-step explanation:
The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.
Use Pythagorean to verify
- 20² = 16² + 12²
- 400 = 256 + 144
- 400 = 400
Confirmed
Answer:
f = 1
Step-by-step explanation:
Use the method of cross- multiplication
= 
⇒ ad = bc, thus
20f = 5(f + 3) ← distribute
20f = 5f + 15 ( subtract 5f from both sides )
15f = 15 ( divide both sides by 15 )
f = 1
Answer:
x= 3/17
Step-by-step explanation:
4x(2x+6) =8x^2(23-5)
8x^2 +24x = 144 x^2
24x = 136 x^2
24= 136 x
x=24/136
x=3/17
