Can you guys distribute this problem and then figure out how many solutions does this problem have 5(m-3)=7m-17

1 answer:

6 0

   5 (m - 3) = 7m - 17

Eliminate
parentheses: 5m - 15 = 7m - 17

Subtract 5m
from each side: - 15 = 2m - 17

Add 17
to each side:    2 = 2m

Divide
each side
by 2 :    1 = m

No more solutions.
Only one.

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2. From the top of a vertical cliff 40 m high, the object is 59.3m from the base of the cliff. Find the angle of depression to t

ArbitrLikvidat [17]

$34^{\circ}$ is the angle of depression from the vertical cliff.

Option: A

Step-by-step explanation:

Given that, Height of the cliff (opposite side) = 40m

Distance of object from the base of the cliff (adjecent side) = 59.3m

To find the angle of depression of the object. From trigonometric rule in a right angled triangle, we know that $\tan \theta=\frac{\text { opposite side }}{\text { adjecent side }}$ $\theta=\tan -1 \frac{\text { opposite side }}{\text { adjecent side }}$ Angle of depression = $\tan -1 \frac{\text { height of cliff }}{\text { Distance of object from the base of the cliff }}=\tan ^{-1} \frac{40}{59.3}=34^{\circ}$ Therefore, the angle of depression to the object is $34^{\circ}$ .