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Simora [160]
2 years ago
14

From the top of a building, the angle of depression to a point 200 ft in front of the building is 72º. How high is the building?

Mathematics
1 answer:
GaryK [48]2 years ago
7 0

Answer:

x ≈ 50.76

Step-by-step explanation:

Sin72º = \frac{x}{200}

200Sin72º

x ≈ 50.76

Hope this is helpful :')

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A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the
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Answer:

The measure of the third arc is 150\°

Step-by-step  explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

42\°=\frac{1}{2}(x-y)

84\°=(x-y) ----> equation A

\frac{x}{y}=\frac{7}{3}

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Substitute equation B in equation A and solve for y

84\°=(\frac{7}{3}y-y)

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y=3*84\°/4=63\°

Find the value of x

x=\frac{7}{3}(63\°)=147\°

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

x+y+z=360\° -----> complete circle

substitute the values and solve for z

147\°+63\°+z=360\°

z=360\°-(147\°+63\°)=150\°

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