A person is standing 40 ft from a light post and can see the top of the light at a 35∘ angle of elevation. The person’s eye level is 5 feet from the ground. What is the height of the light post to the nearest foot.

The height of the light post is feet?

Height of light post = 33 feet

Step-by-step explanation:

We will use the trigonometric ratios to find the height of light post

The given scenario forms a right angled triangle with the right angle with the light post.

The distance between light post and the person is the base.

So, base = b = 40 feet

The height of light post will be the perpendicular

So,

Perpendicular = p = x

Angle = 35°

So,

tan (angle) = p/b

tan 35° = p/40

0.7002 =p/40

0.7002*40 = p

p = 28 feet

Since the persons eye level is 5 feet from the ground, 5 feet will be added to perpendicular for actual height of light post.

Height of light post = 28+5 = 33 feet ..

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.

~

6 cm

step-by-step explanation: