A triangle has two sides measuring 10 inches and 16 inches. The angle opposite the 16-inch side measures 68.9°. Solve the triangle. Round answers to the nearest tenth of a degree. Do not round intermediate values.

measure of two unknown angles are 35.7° and 75.4°

measure of one unknown side is 16.6 inches

Step-by-step explanation:

i used law of sines to find the angle opposite 10 inch side

sin 68.9/16 = sinФ/10

Ф = 35.7°

then is added 35.7 and 68.9 and subtracted the sum from 180° to get the measure of the third angle, 75.4°

i used law of sines again to find the measure of the third side

sin 68.9/16 = sin 75.4/x

x = 16.59

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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