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3 years ago

Can someone help me with this question ?

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Tan52° = x/29

The angle of elevation is 52°, so that must be inside the tan function.

Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.

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What is the difference in time between crossing a bridge that is 2,737 meters long at an average speed of 322 meters per minute

egoroff_w [7]

so the bridge is 2737 meters long.

at a speed of 322 m/min, meaning for for every passing minute, there are 322 meters covered, so we can simply divide 2737/322 to get a "minute" amount, namely 8.5, at 322 m/min, it takes 8.5 minutes to cross it.

now, if we instead are going slower, at 80 m/min, 80 meters to a minute, then it'll be 2737/80 minutes, namely 34.2125.

their time difference is 34.2125 - 8.5 = 25.7125 minutes, so about 25 minutes and 43 seconds.

3 0

3 years ago

Find the exact value by using a half angle identity.tan 75°

kramer

The trigonometric function is given as

$\tan 75^{\circ}$

Apply the half angle identity to find the value of tan 75 ,

$\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}$

Here,

$\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}$ $\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}$ $\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}$

Now rationalize the function.

$\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}$

Again simplify the trigonometric function,

$\tan 75^{\circ}=2+1.732=3.732$

Hence the answer is 3.732.

5 0

1 year ago

write out the sum using the summation notation, assuming the suggested pattern continues. -10-2+6+14+...+110

Ronch [10]

The series is an arithmetic series with first term -10 and common difference (-2-(-10))=8. The general term a_n can be written as
a_n = -10 + 8(n-1)
or
a_n = -18+8n

The last term corresponds to
110 = -18+8n
128 = 8n
16 = n

So, the summation can be written as
$S_{16}=\sum\limits_{n=1}^{16}{(-18+8n)}$

5 0

4 years ago

Read 2 more answers

Capacity of coffee mug

Katarina [22]

<span>the medium coffee cup has a capacity 12 fl-oz volume. the large cup contains 16 fluid ounces capacity in volume. and the extra large, or jumbo cup, is 20 fl oz large. the standard mug size holds 12 fluid ounces of a liquid.</span>

3 0

4 years ago

an alloy of tin is 15% tin weigh 20 pounds . A second alloy is 10% tin . how much pounds of the second alloy must be added to th

Ulleksa [173]

12%=(3+10%*x)/(20+x)
x=30

add 30 pounds of the second alloy

7 0

3 years ago