Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*
180* - 160* = 20*
Answer: x = 20*
Answer:
279 feet
Step-by-step explanation:
To find x, we solve using the Trigonometric function of Tangent
tan θ = Opposite/ Adjacent
θ = 64°
Length of the shadow = Adjacent = 136 feet
Height of the building = Opposite = h
Hence,
tan 64 = h/136 feet
Cross Multiply
h = tan 64 × 136 feet
h = 278.84132245 feet
Approximately, h to the nearest foot ≈ 279 feet
Therefore, the height of the building = 279 feet
In ∆MKP and ∆MNP
MK = MN
PK = NP
MP = MP
SO ∆MKP AND ∆MNP ARE CONGRUENT.
SO m<PMN = m<PMK
m<NMK = 50
=> m<PMN + m<PMK = 50
=> 2 m<PMK = 50
=> m<PMK = 50/2 = 25°
Answer:
No, √3 is not rational. If you need more of an explanation let me know
